What is a polynomial function in standard form with zeros 1 –1 2 and 4.

Answers

Answer 1

The polynomial function obtained from the Zeros given, written in standard form is x⁴ - 6x³ + 7x² + 6x - 8

Hope it helps!

Answer 2

Answer:

x⁴ - 6x³ + 7x² + 6x - 8

Explanation:

Write the linear factor for each zero.

[tex]g(x) = (x - 1) (x + 1) (x - 2) (x - 4)[/tex]

Multiply the first two, then the second two.

[tex]g(x) = (x^{2} + x - x -1) = (x^{2} - 1) then (x^{2} - 4x - 2x + 8)[/tex]

Use the Distributive Property.

[tex](x^{2} - 1) (x^{2} - 6x + 8) = (x^{4} - 6x^3 + 8x^{2} - x^{2} + 6x - 8)[/tex]

Simplify.

[tex]x^{4} - 6x^{3} + 7x^{2} + 6x - 8[/tex]


Related Questions

Which of the following is a difference between phase 1 and phase 2 of meiosis.

Answers

ok done. thank to me :>

My mom/suggested/keep the surroundings/clean and green.

Answers

Considering the incomplete sentence in the question, to make the sentence complete, we have "My mom suggested to keep the surroundings clean and green."

The word "to" is a preposition. It is used to express a situation approaching a specific condition.

Here, the preposition "to" is used to describe the condition in which the surroundings must reach.

The word "to" can also serve as an adverb or incentive marker.

Hence, in this case, it is concluded that the complete and correct sentence is "My mom suggested to keep the surroundings clean and green."

Learn more here: https://brainly.com/question/10595540

A study was designed to investigate the effects of two variables--(1) a student’s level of mathematical anxiety and (2) teaching method--on a student’s achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 450 with a standard deviation of 30 on a standardized test. The test scores follow a normal distribution.

Answers

Using the Empirical Rule, it is found that approximately 68% of the students would score between 420 and 480.

The Empirical Rule states that for a normal variable:

68% of the measures are within 1 standard deviation of the mean.95% are within 2.99.7% are within 3.

In this problem, the mean is of 450 while the standard deviation is of 30.

450 - 30 = 420

450 + 30 = 480

Hence, approximately 68% of the students would score between 420 and 480.

A similar problem is given at https://brainly.com/question/25807482

Some numbers are formed with closed paths.

Answers

Answer:

what is the question

Explanation:

To what extent do covalent compounds conduct electricity?.

Answers

Answer:

A covalent bond is formed between non metal atoms, which combine together by sharing electrons. Covalent compounds have no free electrons and no ions so they don't conduct electricity

Explanation:

Answer:

the answer is never

Explanation:

i did the test :)

Which of the following describes a consumer installment loan?.

Answers

Answer:  hums 202 Which of the following describes a consumer installment loan? A. A loan you get based on the tax refund that you expect to receive. B. A loan that is repaid in equal monthly payments for a specific period of time, usually several years. C. A loan where you have to promise to give the bank your assets if you do not repay the loan. D. A loan for consumer goods where you own the item(s) at the end of the payment period.

Explanation: all you have to do is search up the answer to this on brainly

If there is more than one speaker, how should they be all noted?.

Answers

Answer:

By their names. If the names are not known you should mark them as speaker 1, speaker 2, speaker 3, etc.

Explanation:

The answer is mashed potatoes.

Answers

Answer: what did he sayyy

Explanation:

A new roller coaster contains a loop the loop.

Answers

Answer: Have you ever been to that type of roller coaster?

Explanation: If so cool.

How many positive integers are there between 100 and 999.

Answers

Answer:

be the positive integers between 100 and 999 inclusive. contains 900 integers, while we are interested in integers divisible by 7. Thus 128 integers are divisible by 7.

Explanation:

hope this helps

Answer:

Let be the set of positive integers between 100 and 999. The set contains 900 integers, and the integers are divisible by 7. By division rule, where is the finite set with union of pairwise disjoint subsets with elements.

Explanation:

can i get brainliest

Solve for n. 11(n – 1) + 35 = 3n n = –6 n = –3 n = 3 n = 6.

Answers

Answer:

[tex]n = - 3[/tex]

is answer

A hunter carries a firearm while climbing into and out of a tree stand. What is the proper way to get the firearm into and down from the stand?.

Answers

Considering the situation described above, the proper way to get the firearm into and down from the stand is to use the "haul line like strong rope, strap or commercially made line to carry the firearms."

This is because carrying firearms to climb a tree is dangerous. It is believed that the additional weight of the gun can lead to loss of balance, thereby making the hunter fall.

In some cases, following the hunter's fall, there may be an accidental discharge which may eventually injure or kill the hunter.

Also, when using a haul line to carry the firearms, the hunter still needs to follow certain precautions to avoid accidental discharge, such as unloading of weapons and turning the muzzle upside down.

Hence, in this case, it is concluded that the correct answer is "haul line like strong rope, strap or commercially made line to carry the firearms."

Learn more here: https://brainly.com/question/5559395

You get lost in extremely cold weather. You are unable to start a fire. Which of the following is the best way to survive?.

Answers

Answer:

go back in time and dont go anywhere cold

Explanation:

After earning $50 million in net income, monroe millwork distributed $15 million in dividends to its stockholders. Monroe’s board of directors decided to invest the remaining $35 million back into the business. This $35 million reinvestment of profits represents.

Answers

Based on the information given, it can be deduced that the reinvestment of profit which is $35 million is known as the retained earnings.

Retained earnings simply refer to part of the cumulative profit that is earned by a company which is saved for future use.

Retained earnings are typically earned from the net income at the end of a particular period. In this case, the company had a net income of $50 million and distributed $15 million as a dividend.

Therefore, the remaining $35 million is the retained earnings.

Learn more about retained earnings on:

https://brainly.com/question/20051506

A hydrophobic amino acid r group would be found where in a protein.

Answers

Answer:

It will be found on the inside of the protein structure

Find the value of 6.

Answers

Answer:

B if your question is same as mine

Explanation:

the definition of ! ( factorial ) is

n! = n(n - 1)(n - 2) ........ × 3 × 2 × 1

6 = 6 × 5 × 4 × 3 × 2 × 1 = 720

BRAINLIEST

apparition
enchanted
ghost
ghostly
ghoulish
goblin
haunted house
haunting

Answers

Halloween is my favorite holiday too

Which best describes an electron cloud.

Answers

The electron cloud is the area where electrons are usually found. Discover more about electron clouds through the complete definition, model, and the theory that explains electrons movement around atoms.

I hope this helps! Have an amazing day! :)

An angle measures 4. 3 radians. To the nearest degree, what is the measure of the angle? degrees.

Answers

Im pretty sure this is it-

The measure of your angle is 4.3 radians, according to your statement. This is less than a full circle, which is 2π radians ≈ 6.28 radians.

So, let's look at 4.3/6.28, which turns out to be equal to 0.685; i.e., it is equal to 0.685 of a full circle of 360 degrees; i.e., it is equal to 246.6 degrees. Thus your angle lies in the third quadrant of the (x,y) plane.

In the cycle shown is mantle made of silicate rocks why.

Answers

Answer:

The rocks that make up Earth's mantle are mostly silicates—a wide variety of compounds that share a silicon and oxygen structure. Common silicates found in the mantle include olivine, garnet, and pyroxene.

Explanation:

A significant factor in the exponential population growth over the past two centuries is:.

Answers

A significant factor in the exponential population growth over the past two centuries is; good sanitation and medical advances.

In exponential growth, the rate of the growth in population usually increases over time and this is usually directly proportional to the size of the population.

Now, this rate discussed above usually causes the population to increase much more faster.

We can say that good sanitation and medical advances will contribute to the exponential growth of the human population due to the fact that when an environment is clean, it will prevent the accumulation of dirt and infectious particles to accumulate inside the body which means less contraction of deadly diseases.

Secondly, medical advances have helped in curing of deadly diseases that cause more deaths and this means the death rate will decrease and population will increase.

Read more at; https://brainly.com/question/3704539

Beth is listening to her friend melissa talk about a recent break-up. Beth wants to give an appropriate listening response to convey to melissa that she there for her friend and shares her point of view. Beth’s best listening response would be which of the following?.

Answers

Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.

In communication, listening is very key which follows with a feedback to ensure what is being communicated is rightly decoded by the receiver of a message.

For feedbacks, many types of responses can be given. One of which is giving a listening response.

Types of listening responses include:

EmpathizingQuestioningParaphrasingEvaluatingSilent listeningEmpathizingSupporting.

Supporting is a type of listening response whereby the listener shows solidarity with the speaker in a way that reflects the feelings about the speaker.

Therefore, Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.

Learn more about listening responses on:

https://brainly.com/question/14410622

Tim drives at an average speed of 80km.

Answers

Answer:

and? I dont know Tim.

Explanation:

Hydrogen reacts with chlorine to form hydrogen chloride (HCl (g), Delta. Hf = –92. 3 kJ/mol) according to the reaction below. Upper H subscript 2 (g) plus upper C l subscript 2 (g) right arrow 2 upper H upper C l (g). Which statement is correct? Use Delta H r x n equals the sum of delta H f of all the products minus the sum of delta H f of all the reactants. The enthalpy of the reaction is –184. 6 kJ, and the reaction is exothermic. The enthalpy of the reaction is –184. 6 kJ, and the reaction is endothermic. The enthalpy of the reaction is 184. 6 kJ, and the reaction is endothermic. The enthalpy of the reaction is 184. 6 kJ, and the reaction is exothermic.

Answers

Answer:

a

Explanation:

aaa

The statement which is correct about the reaction of hydrogen with chlorine is used Delta H r x n equals the sum of delta H f of all the products minus the sum of delta H f of all the reactants. The correct option is A.

What is a chemical reaction?

A chemical reaction is a transformation of one or more chemicals (the reactants) into one or more distinct compounds (the products). Chemical elements or chemical compounds make up substances.

When a chemical reaction occurs, the reactance responds by rupturing the bonds in the energy and forming new compounds. Breaking chemical bonds between reactant molecules (particles) and creating new bonds between atoms in product particles are two aspects of chemical reactions (molecules).

Therefore, the correct option is A, Use Delta H r x n equals the sum of delta H f of all the products minus the sum of delta H f of all the reactants.

To learn more about chemical reaction, refer to the link:

https://brainly.com/question/29762834

#SPJ5

Solve for x. 9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 5.

Answers

Answer:

[tex]\boxed{\boxed{\sf x=2}}[/tex]

Explanation:

[tex]\sf 9(x + 1) = 25 + x[/tex]

*Apply Distributive property*

[tex]\leadsto\sf 9x+9=25+x[/tex]

Subtract 9 from both sides:

[tex]\leadsto\sf 9x+9-9=25+x-9[/tex]

[tex]\leadsto\sf 9x=x+16[/tex]

Subtract x from both sides:

[tex]\leadsto\sf 9x-x=x+16-x[/tex]

[tex]\leadsto\sf 8x=16[/tex]

Divide both sides by 8:

[tex]\leadsto\sf \cfrac{8x}{8}=\cfrac{16}{8}[/tex]

[tex]\leadsto\sf x=2[/tex]

_________________________________________

What is the acceleration of a 32 kg object if a 6. 75 n force is applied to it? 0. 21 m/s2 4. 74 m/s2 21. 09 m/s2 216. 00 m/s2.

Answers

The acceleration of the object is 4.74 m/s²

From the question given above, the following data were obtained:

Mass (m) = 32 Kg

Force (F) = 6.75 N

Acceleration (a) =?

The acceleration of the object can be obtained as follow:

[tex]a = \frac{f}{m} \\ \\ a \: = \frac{32}{6.75} \\ \\ [/tex]

a = 4.74 m/s²

Therefore, the acceleration of the object is 4.74 m/s²

Learn more: https://brainly.com/question/20557294

What is "four times the sum of x and y" in a mathematical phrase?.

Answers

Answer:

4(x + y)

Explanation:

Have a nice day

A bat emits a sound at a frequency of 3. 00 × 104 hz as it approaches a wall. The bat detects beats such that the frequency of the echo is 900 hz higher than the frequency the bat is emitting. The speed of sound in air is 340 m/s. The speed of the bat is closest to.

Answers

Taking into account the Doppler efect, the speed of the bat is closest to 5.02 [tex]\frac{m}{s}[/tex].

The Doppler effect is defined as the apparent frequency change of a wave produced by the relative movement of the source with respect to its observer. In other words, this effect is the change in the perceived frequency of any wave motion when the sender and receiver, or observer, move relative to each other.

The following expression is considered the general case of the Doppler effect:

[tex]f1=f\frac{v+-vR}{v+-vE}[/tex]

Where:

f1, f: Frequency perceived by the receiver and frequency emitted by the issuer respectively. Its unit of measurement in the International System (S.I.) is the hertz (Hz), which is the inverse unit of the second (1 Hz = 1 s⁻¹) v: Velocity of propagation of the wave in the medium. It is constant and depends on the characteristics of the medium. In this case, the speed of sound in air is considered to be 340 m/s vR, vE: Speed ​​of the receiver and the sender respectively. Its unit of measure in the S.I. is the m/s ±, ∓: We will use the + sign:

In the numerator if the receiver approaches the sender

In the denominator if the sender moves away from the receiver

We will use the sign -:

In the numerator if the receiver moves away from the emitter

In the denominator if the sender approaches the receiver

In this case, a bat emits a sound at a frequency of 3.00×10⁴ Hz= 30,000 Hz as it approaches a wall.

The bat detects beats such that the frequency of the echo is 900 hz higher than the frequency the bat is emitting.

So, you know:

f1= 30,000 Hz + 900 Hz= 30,900 Hzf= 30,000 Hzv= 340 m/svE=vR= vbatReceiver approaches the sender

Replacing in the expression is considered the general case of the Doppler effect:

[tex]30900 Hz=30000 Hz\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]

Solving:

[tex]\frac{30900 Hz}{30000 Hz} =\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]

[tex]1.03=\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]

1.03×( 340[tex]\frac{m}{s}[/tex] -vbat)= 340 [tex]\frac{m}{s}[/tex] + vbat

1.03×340[tex]\frac{m}{s}[/tex] - 1.03×vbat= 340 [tex]\frac{m}{s}[/tex] + vbat

350.2[tex]\frac{m}{s}[/tex] - 1.03×vbat= 340 [tex]\frac{m}{s}[/tex] + vbat

350.2[tex]\frac{m}{s}[/tex] - 340 [tex]\frac{m}{s}[/tex]= vbat + 1.03×vbat

10.2 [tex]\frac{m}{s}[/tex]= 2.03×vbat

10.2 [tex]\frac{m}{s}[/tex]÷ 2.03 = vbat

5.02 [tex]\frac{m}{s}[/tex]= vbat

In summary, the speed of the bat is closest to 5.02 [tex]\frac{m}{s}[/tex].

Learn more about the Doppler effect:

brainly.com/question/17107808https://brainly.com/question/14929897

Bills new porch is rectangular with an area of 50 square feet.

Answers

Considering the whole question, the perimeter of the porch is 30 feet.

This is because the whole question is, "Bill's new porch is rectangular, with an area of 50 square feet. if the length of the porch is two times the width, what is the perimeter of the porch?"

Therefore to find the perimeter of the porch, here is the step by step:

Given that the length of the porch is two times the width.

Hence, assume that the width = X

Also, assume that the length = 2X

The general formula here:

50 = X × 2X

X × 2X50 = 2x²

2x²X² = 50 ÷2

50 ÷2X² = 25

25X = √25

√25X = 5

Hence, width = 5 feet.

Given that length of the porch is two times the width = 5 × 2 => 10 feet

Therefore Perimeter of a rectangle = 2 (Length + Breadth)

Put all the values in the formula

Perimeter of the porch = 2 × (5 + 10)

= 2 × (15)

= 30 feet.

Hence, in this case, it is concluded that the correct answer is 30 feet.

Learn more about perimeter here: https://brainly.com/question/13532036

In the diagram, ce=12 units and be=5 units. Based on the given information, what is ae? 2 units 7 units 12 units 17 units.

Answers

Answer:

C. 12 units.

Right on edge

In the diagram, ce=12 units and be=5 units. Based on the given information. So, the answer will be 7 units. Thus, option B is correct.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In the diagram,

⇒ CE = 12 units

⇒ BE = 5 units

Now,

Since, Triangle CBE is an right triangle.

And, We have;

⇒ CB = AB

⇒ ∠DBC = 90°

⇒ ∠ABE  = ∠DBC = 90° (opposite angles formed by the intersection of  AC and DE.)

As, ∠CBE and  ∠ABE are supplementary angles and form a straight line.

So, We get;

⇒ ∠CBE + ∠ABE =180°

⇒∠CBE =  180° - ∠ABE  

           = 180°- 90°

           = 90°

And, Between triangle ΔCBE  & ΔABE;

⇒ ∠CBE = ∠ABE = 90°

⇒ CB = AB (given)

⇒ BE = BE  (common side)

Hence, The triangles Δ CBE  & ΔABE are congruent.

⇒ Δ CBE  ≅ ΔABE( by S-A-S Congruency)

⇒ CE = AE ( as triangle Δ CBE  & ΔABE are congruent then the sides are same.)

⇒  AE = 12 units

Thus, The length of AE = 12 units

Learn more about the triangle visit:

brainly.com/question/1058720

#SPJ7

Other Questions
Researchers estimate that the percentage of time spent in social interaction with peers increases from approximately ______ percent at 2 years of age to more than ______ percent in middle to late childhood. Which answer is an equation in point-slope form for the given point and slope? point: (7, 4); slope: 6. Keisha bought seventy-two trading cards for her and her eleven friends. If Keisha and her friends get an equal amount, how many cards does each person receive? ________happens in the mitochondrial membrane and is where hydrogen ions arepumped through to create ATPO glycolysisOkreb's cycleO light reactionselectron transport chain Dark matter absorb light emit radiation and been observed directly. The amount of workers working on a task varies inversely as the amount of time it takes to finish the task. If 10 people can finish a task in 2 weeks, how many days will it take for 15 people to complete the same task?. As part of a science experiment, Jose did a test for starch on a slice of apple and a slice of potato. The yellow-orange iodine solution stayed the same color when it was put on the apple, but it became black on the potato.Why did the iodine solution change color on the potato? A. The iodine burned the potato and turned it to ash. B. The iodine mixed with the colors of the potato so it looked black. C. The iodine evaporated into a gas. D. The iodine reacted with the potato to form a new substance. What are your good points? Positive views about yourselfWhat are your bad points? Things you could be better at, negative views.Why is it important to recognize both? Black Diamond Company produces snowboards. Each snowboard requires 2 pounds of carbon fiber. Management reports that 5,000 snowboards and 6,000 pounds of carbon fiber are in inventory at the beginning of the third quarter, and that 150,000 snowboards are budgeted to be sold during the third quarter. Management wants to end the third quarter with 3,500 snowboards and 4,000 pounds of carbon fiber in inventory. Carbon fiber costs $15 per pound. Each snowboard requires 0.5 hour of direct labor at $20 per hour. Variable overhead is budgeted at the rate of $8 per direct labor hour. The company budgets fixed overhead of $1,782,000 for the quarter. Required: 1. Prepare the production budget for the third quarter. Hint: Desired ending inventory units are given. the price of 10 chairs is equal to that of 4 tables. the price of 15 chairs and two tables together is 4000$ the total price ( in $) of a chair and table is? Outline the place of Advent in the Liturgical Calendar. PLEASE HELP ME OUT Convert the following35 mL = _____dL950 g = _____ kg most species alive today have yet to be identified True or false On a position vs. Time graph, which feature would represent motion in the negative direction over time?. Expand the function.f(x) = (2x + 3)4 WILL MARK BRAINLIEST AND GIVE 75 POINTS!!!Summer is thinking about buying a car for $45,000. The table below shows the projected value of two different cars for three years.Number of years 1 2 3Car 1 (value in dollars) 40,500 36,450 32,805Car 2 (value in dollars) 42,000 39,000 36,000Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)Part C: Summer wants to purchase a car that would have the greatest value in 13 years. Will there be any significant difference in the value of either car after 13 years? Explain your answer, and show the value of each car after 13 years. (4 points) Read the following gnome and determine its type.A man shall utter wisdom, write secrets,sing songs, merit praise, expound glory,be diligent daily.A. rule of conductB. principle of lifeC. general truth What would be the freezing point of a solution that has a molality of 1.506 m which was prepared by dissolving biphenyl (C12H10) into naphthalene Bright yellow urine usually is indicative that someone is supplementing with ________. nutrition help me with this plsssss