To find the roots of a polynomial, it is often useful to find the ____ of the polynomial.

Answers

Answer 1

Answer:

Factors

Step-by-step explanation:

To find the roots of a polynomial, [factors] help the process of finding them


Related Questions

Jimmy begins at the house. He walks to the horse barn. Then he walks 3 units up and 4 units right before returning back to the house. List the ordered pairs of the places jimmy visits in he order he visits them

Answers

There are 3 ordered pairs of the places jimmy visits in the order he visits them.

An ordered pair is a pair that is formed by two elements and are separated by a comma and written inside the parenthesis.

An example of ordered pair is (x,y).

where x is called the first element and y is called the second element of the ordered pair.

If we consider 2 order pairs the first-order pair is not equal to the second-order pair.

Example: (x,y) [tex]\neq[/tex] (y,x)

Now as per the diagram, jimmy has started at home next he walks to the horse which is the intersection of (1,1) points.

After then he walks 3 units up which is (1,3) which reaches the horse barn from that point he is supposed to move  4 units right and reached (5,6)  At the Storage barn.

so the order pairs are:

(1,1) - At the house

(1,3) - At the horse barn

(5,6) - At the Storage barn

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ANSWERING ANY QUESTIONS FOR BRAINLIEST ANY QUESTION U MIGHT BE STUCK ON !!!

Answers

Step-by-step explanation:

Is power of mind is truee

The concept of the power of the mind is a widely debated topic, with varying opinions and perspectives. Some people believe in the power of positive thinking and visualization to achieve goals and create positive changes in one's life. Others may be more skeptical and question the scientific evidence supporting these ideas. Ultimately, whether or not the power of the mind is "true" is subjective and depends on one's personal beliefs and experiences.

1. (D) Which of the following statements is true?
Explain your answer!
A.
B.
C.
13
19
13
19
13
19
2
2|22|3

Answers

Taking LCM and comparing the values we see that: 39/57 > 38/57. Hence, option C is the correct statement.

What is LCM?

In mathematics, the value that is equally divided by the two supplied numbers is known as the LCM of any two. Least Common Multiple is its full name. Another name for it is the Least Common Divisor (LCD).

When the fractions' denominators differ, LCM can also be used to add or subtract any 2 fractions. LCM is used to make the denominators common when doing any arithmetic operations using fractions, such as addition and subtraction.

The two values are:

13/ 19 and 2/3

Taking LCM we have:

13(3)/ 19(3) and 2(19) / 3(19)

39/ 57 and 38/57

Hence, comparing the values we see that:

39/57 > 38/57

Option C is the correct answer.

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Miguel has 14 action videos and 21
adventure videos. Use a ratio to compare the number of action videos and the number of adventure videos.

Answers

The ratio of action videos to adventure videos is 14:21.

What is the ratio of action videos to adventure videos?

This question uses the concept of ratios, which is a comparison of two or more values. Ratios are used to compare quantities in a variety of situations.

Count the number of action videos and the number of adventure videos. In this example, there are 14 action videos and 21 adventure videos.

Create a ratio by writing the number of action videos first, followed by a colon, followed by the number of adventure videos. In this example, the ratio is 14:21.

Simplify the ratio if needed. In this example, the ratio is already in its simplest form.

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I NEED HELP WITH 2 QUESTIONS WILL MARK THE MOST BRAINLIEST IF CORRECT!

Answers

Answer:

-1, 6

0, -3

1, -3.9

2, -3.99

f(x) = 5^2x+1

Step-by-step explanation:

for the first question, after plugging in the values of x, we get our answer to be the 2nd table

-1, 6

0, -3

1, -3.9

2, -3.99

for the second question

f(x) = 5^2x+1

after graphing, we can see it never passes x = 2

Which products result in a difference of squares or a perfect square trinomial? check all that apply.

Answers

The products that result in a difference of squares or a perfect square trinomial are Quadratic Equations, Perfect Square Binomials, and Difference of Squares. Difference of Cubes is incorrect.

Those apply:

A. Quadratic EquationsC. Perfect Square BinomialsD. Difference of Squares

Quadratic equations are equations that can be written in the form of ax² + bx + c = 0, where a, b, and c are constants and x is a variable. Perfect square binomials are expressions of the form (x + y)², where x and y are constants.Difference of squares is an expression of the form x² - y², where x and y are constants.

All three of these products can be used to solve a variety of problems involving algebraic equations.

The task:

Which products result in a difference of squares or a perfect square trinomial?

Check all that apply:

A. Quadratic Equations (correct)B. Difference of Cubes (incorrect)C. Perfect Square Binomials (correct)D. Difference of Squares (correct)

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How do I endorse a check for deposit?

Answers

Just put your name on the check's back to complete a blank endorsement. The teller at the bank will ask if you want to cash it or deposit it after you arrive.

Explain about the endorse a check for deposit?

The three types of endorsements available for checks are blank, special, and restriction. When the payee signs their name on the check's top back, it becomes a blank endorsement.

To accomplish this, you just sign the check on the back and inform the bank teller whether you want to deposit it into a certain account or cash it. When depositing a check using mobile deposit or an ATM, a blank endorsement is also acceptable.

To be accepted for deposit, a check needs to have an endorsement on the back. Therefore, always add your signature to the document right before bringing it to the bank in the place provided next to the X.

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What is simplest radical form in math?

Answers

The radical form of a number involves a square root. The number under the square root is a natural number or real number.

What is a radical?

The square root or nth root is represented by the symbol. Expression with a square root is referred to as a radical expression. Radicand: A value or phrase contained within the radical symbol. An equation with radical expressions and variables as radicands is referred to as a radical equation.

The term "simplest radical form" refers to an algebraic expression's or number's most basic radical form. If the number or algebraic expression under the radical has no factors that are perfect nth powers, then the radical is said to be in its simplest radical form.

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Gabby uses a scissor to cut `\frac{5}{16}` inch off the top of a photo and `\frac{3}{8}` inch off the bottom. How much shorter is the total height of the photo now? Explain.

Answers

The length of the photo is shorter by 11/16 inches.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Top cutoff length = 5/16 inch

Bottom cutoff length = 3/8 inch

Now,

The length of the photo is shorter by:

= 5/16 + 3/8

= (5 + 6) / 16

= 11/16 inch

Thus,

The photo is shorter by 11/16 inches.

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Given the ratio for csc , find the remaining
ratios.

Answers

The remaining ratios for the angle are:

sin θ = 2/√7

cos θ = √3 /√7

tan θ = 2/√3

sec θ = √7 /√3

cot θ = √3 /2

How to find the remaining ratios?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. Trigonometry is used to determine the lengths of the sides of a triangle when one or more angles and/or the lengths of one or more sides are known.

The remaining ratios are as follows

csc θ = √7 /2

Since sin θ = 1/cscθ

sin θ = 2/√7

Remember: sin θ= opposite/hypotenuse  = 2/(√7)

adjacent =  √((√7)² - 2²) = √3

cos θ = √3 /√7   (adjacent/hypotenuse)

tan θ = 2/√3  (opposite/adjacent)

sec θ = 1/cos θ

sec θ = √7 /√3

cot θ = 1/tan θ

cot θ = √3 /2

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round answers to the nearest tenth

Answers

A. the value of x = 6.5( nearest tenth)

B. the value of x = 8.0 ( nearest tenth)

What is trigonometric ratio?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Sin(tetha) = opp/hypotenuse

cos (tetha) = adj/hyp

tan (tetha) = opp/adj

in the first figure,

Tan22 = x/16

x =tan 22 × 16

x = 6.5(nearest tenth)

in the second figure,

sin42 =x/12

x = sin42× 12

x = 8.0 ( nearest tenth)

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What is a compound angle

Answers

The algebraic sum of 2 or more angles can be called a compound angle. Trigonometric identities are used to represent compound angles. The basic operations of finding the sum and difference of functions can be computed using the concept of compound angles.

Solve equation by factor

Answers

The solution to the equation are k = 2 or k = -3.5

How to Solve equation by factor

From the question, we have the following parameters that can be used in our computation:

2k^2 - 14 = -3k

Express properly

So, we have the following representation

2k^2 + 3k - 14 = 0

Expand the equation

2k^2 + 7k - 4k - 14 = 0

So, we have

k(2k + 7) - 2(2k + 7) = 0

This gives

k - 2 = 0 or 2k + 7 = 0

Evaluate

k = 2 or k = -3.5

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The sum of 2 and y translate phrase into an algebraic question

Answers

The algebraic expression is 2 + y.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Sum of 2 and y

This can be written as,

2 + y

Thus,

The expression is 2 + y.

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A simple random sample of items resulted in a sample mean of. The population standard deviation is.

Answers

Answer: n/a

Step-by-step explanation:

there are no numerical values given to derive an answer from.

to find the mean, take the sum of all numbers and divide it by the number of added numbers.

for the standard deviation, subtract every data point from the mean and square it. add all of those together and divide it by the number of data points. then find the square root of that number

Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. [2 -1 -4 2 6 -3] x = x_2 + X_3 (Type an integer or fraction for each matrix element.)

Answers

A general solution to the system Ax = 0 in parametric vector form is given by:

X = X_2 * [1 0 1 0 0] + X_3 * [0 1 0 1 0]

How to find all solutions of Ax = 0 in parametric vector form?

The matrix [2 -1 -4 2 6 -3] can be row-reduced to the row-echelon form [2 -1 -4 0 6 -9], which has a pivot in the first, second and fourth columns. This implies that the columns with zero entries in the row-echelon form correspond to free variables in the solution.

Since there are two free variables in the row-echelon form, the solution to the homogeneous linear system Ax = 0 will be in the form of a parametric vector, where X_2 and X_3 are the free variables and X_1, X_4, and X_5 are expressed in terms of X_2 and X_3.

A general solution to the system Ax = 0 in parametric vector form is given by:

X = X_2 * [1 0 1 0 0] + X_3 * [0 1 0 1 0]

where X_2 and X_3 are arbitrary constants. This represents a two-dimensional subspace in R^5, which consists of all linear combinations of the two linearly independent vectors [1 0 1 0 0] and [0 1 0 1 0].

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a dog in an open field runs 12.0 m east and then 27.0 m in a direction 54.0 ∘ west of north. how far must the dog then run to end up 10.0 m south of her original starting point

Answers

A dog in an open field runs 12.0 m east and then 29.0 m in a direction 51.0 west of north, 69.50 south of east or 20.50 east of south must the dog then run to end up 10.0m south of her original starting point.

A dog in an open field runs 12.0 m east and then 27.0 m in a direction 54.0 degree west of north.

The dog's displacement vector is d(1) = [tex]12 \hat{i} + 29 [-sin51^{o} \hat{i} + cos51^{o} \hat{j}][/tex]

Thus, d(1) = [tex]12 \hat{i} + (-22.5 ) \hat{i} + (18.2) \hat{j}[/tex]

d(1) = [tex]-10.5 \hat{i} + 18.2 \hat{j}[/tex]

The dog's overall displacement is then

P = -10[tex]\hat{j}[/tex] - d(1)

P = [tex]-10 \hat{j} - [-10.5 \hat{i} + 18.2 \hat{j}][/tex]

P = [tex]10.5 \hat{i} - 28.2 \hat{j}[/tex]

The dog's direction is

θ = [tex]tan^{-1}[/tex][(28.2/10.5)]

θ = 69.50 south of east or 20.50 east of south

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Help Please!! thanksssss

Answers

The volume of the given object would be the addition of the volume of the cone and the volume of the rectangular prism = 3,648 in³.

How to calculate the volume of the object?

The volume of cone = v = πr²h/3

where π = 3

r = 8/2 = 4ft

h = 12ft

Volume = 3× 4² × 12/3

= 576/3 = 192ft³

The volume of the rectangular prism = l×w×h

where;

l = 7ft

w = 2ft

h = 8ft

volume = 7×2×8 = 112ft³

Therefore the volume of the object = 192+112 = 304ft³

To convert to inches the following is carried out;

1 ft = 12 inches

304 ft = 304× 12 = 3,648 in³

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After it has been harvested, corn stored at a particular temperature will lose market value at a rate of 7% per day. If a corn harvest with 92389 is being stored at the temperature, what will it’s market value be
in 5 days?

Answers

Corn's market value  in 5 days will  be 64273.95.

What is exponential decay function?

A exponential decay is a function that, as the name implies, decays exponentially. So it decays fast at the beginning and slower as the value of the variable increases.

The form of the general exponential decay is:

f(x) = A*(r)ˣ

r is rate

A=initial value

Exponential decay:

y=a(1-r)ᵗ

a= initial value, r in decimal = 0.07, t = 5 days

y= 92389 (1-0.07)⁵

y=  92389(0.93)⁵

y= 64273.95

Corn's market value  in 5 days will  be 64273.95

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which scale is based on tenths and hundredths of an inch?

Answers

The decimal inch scale is based on tenths and hundredths of an inch. This scale is a common unit of measurement used for industrial, mechanical, and construction purposes.

The formula for a decimal inch is 1 inch = 0.1 decimal inch. This means that every 0.1 decimal inch is equal to 1 inch. To calculate a decimal inch, simply divide the number of inches by 10. The decimal inch scale is based on tenths and hundredths of an inch. This scale is a common unit of measurement used for industrial, mechanical, and construction purposes. For example, if you have a measurement of 6 inches, the decimal inch measurement would be 0.6. You can also convert decimal inches to inches by multiplying the decimal number by 10. For example, if you have a measurement of 0.6 decimal inches, the inch measurement would be 6 inches.

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the scatter plot shows hikers elevation above sea level during a hike from the base of the top of a mountain equation of a trend line for the hikers elevation is Y = 8.16 X + 695 where X represents the number of minutes and Y represents the hikers of elevation and feet use the equation of the trend line to estimate the hikers the elevation after 150 minutes​

Answers

The equation of the trend line to estimate the​ hiker's elevation after 165 minutes is 2291.3 feet.

What is linear equation ?

Linear equation can be defined as equation in which highest degree is one.

Given that,

The equation of a trend line for the​ hiker's elevation is y = 9.82x + 671​.

We have to determine,

The equation of the trend line to estimate the​ hiker's elevation after 165 minutes.

According to the question,

The equation of a trend line for the​ hiker's elevation is y = 9.82x + 671​.

Where, x represents the number of minutes and y represents the​ hiker's elevation in feet.

To find the trend line to estimate the​ hiker's elevation after 165 minutes, substitute the value of x = 165 minute in the given equation.

Hence, The equation of the trend line to estimate the​ hiker's elevation after 165 minutes is 2291.3 feet.

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what is the answer for this maths watch question?

Answers

Answer: 7

Step-by-step explanation:

Combine like terms

7^15/7/^14 = 7

Conider the table created with Fahrenheit and Celiu temperature. Table A repreent the function that model Celiu temperature, C(F), baed on the given Fahrenheit temperature, F

Answers

By applying inverse function concept, it can be concluded that the table that could be used to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F) is option A:

C           -20      -15      -5

F(C)        -5         4       23

An inverse function can be defined as a type of function that is obtained by inverting (undoing) the operation of the given function f(x).

In Mathematics, if f(x) is a given function, its inverse function has the following property f⁻¹(f(x)) = x.

We already have this table:

F       -4        5       23

C(F)   20    -15      -5

By applying the concept of inverse function, we can form a new table to represent the inversion function of the above table:

C           20      -15      -5

F(C)        -4        5       23

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Full question attached.

Which of the following notations correctly describe the end behavior of the
polynomial graphed below?

Answers

Answer:

A

Step-by-step explanation:

As x gets larger, the y-values became more and more negative. This means that as x approach infinity, y approaches negative infinity.

On the other side, as x gets smaller, the y-value also gets more and more negative. This means as x approaches negative infinity, y also approaches negative infinity.

This is shown in answer option A.

18 is the quotient of a number and 6. What is the number

Answers

If 18 is the quotient of a number and 6, the value of the unknown number is 108.

What is the unknown number?

Given the statement in the question;

18 is the quotient of a number and 6

Let the unknown number be represented by 'x'.

The quotient of a number and 6 the same as x / 6

Hence

18 = x / 6

Solve for x

Cross multiply the equation

18 × 6 = x

x = 18 × 6

Multiply 18 and 6

x = 108

Therefore, the value of x is 108.

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When given a set of cards laying face down that spell P, E, R, C, E, N, T, S, determine the probability of randomly drawing a vowel.

two eighths
six eighths
two sevenths
six sevenths

Answers

The probability of randomly drawing a vowel is 2/7, option C is correct.

What is probability?

Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes.

Given a set of cards spell P, E, R, C, E, N, T, S

total cards = 8

so total outcome = 8

to find  the probability of randomly drawing a vowel,

set contains 2 vowels,

a favorable outcome for vowel = 2

probability =  favorable outcome/total outcome

P(vowel) = 2/7

Hence option C is correct.

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suppose that [infinity] ∑ n = 0 c n 1 = 9 . find the exact value of c . enter your answer as a fraction, not a decimal.

Answers

Since the sum is given to be equal to 9, then the exact value of c must be equal to 9/1.

The given equation is ∑ n = 0 c n 1 = 9. This means that the sum of all of the terms beginning at n = 0 and continuing for infinity is equal to 9. Therefore, the exact value of c must be equal to 9/1. In other words, c must have a value of 9 in order for the given equation to be true. As such, the exact value of c is 9/1. Since the sum is given to be equal to 9, then the exact value of c must be equal to 9/1.

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Find the length of side x in simplest radical form with a rational denominator. Please help me w this!

Answers

The length of side x obtained using trigonometric ratios is 5 units

What are trigonometric ratios?

Trigonometric ratios are expressions that indicate the relationship between the lengths of two of the sides of a right triangle and the interior angles of the right triangle.

The specified triangle is a right triangle, therefore, if the interior angles, and the length of one of the sides is known, the lengths of the other sides can be found.

The right triangle is a 30°-60°-90° right triangle

The length of the hypotenuse side = 10

The length of the leg with measurement x, can therefore, be found using trigonometric ratios follows;

sin(θ) = Opposite/Hypotenuse

sin(30°) = x/10

Therefore; x = 10 × sin(30°)

x = 10 × 0.5 = 5

The length of the side x in the right triangle is 5 units

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How many pounds in 85 kilos?

Answers

There are 187.425 pounds in 85 kilograms. The solution has been obtained by using the unit conversion.

What is unit conversion?

The same feature is expressed in a different unit of measurement using a unit conversion. For instance, you may represent time in minutes rather than hours or distance in feet rather than miles. It happens frequently when measurements are given in one set of units, like feet, but are demanded in another set, like chains.

We are given 85 kilograms which are to be converted into pounds.

We know that 1 kilogram = 2.205 pounds(approx)

So,

⇒85 kilograms = 85 * 2.205

⇒85 kilograms = 187.425 pounds

Hence, there are 187.425 pounds in 85 kilograms.

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Try again
A party rental company ha chair and table for rent. The total cot to rent 5 chair 3 and table i 36$. The total cot to rent 2 chair and 6 table i 54$. What i the cot to rent each chair and table?

Answers

The cost to rent each chair and table is $7.2 and $6.6 respectively.

What are Simultaneous Equations?

Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables that satisfies all such equations. This implies that the simultaneous equations have a common solution.

Let chairs = c

Let tables = t

5c + 3t = 36 --- 1

2c + 6t = 54 --- 2

From equation 2

2c + 6t = 54

c = 27 - 3t

Substitute c in equation 1

5(27 - 3t) = 36

135 - 15t = 36

135 - 36 = 15t

t = 99/15

t = $6.6

c = 27 - 3(6.6)

c = 27 - 19.8

c = $7.2

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