If a polynomial function f(x) has roots 4 - 13i and 5, what must be a factor of f(x)?
(x + (13- 41)
(x - (13 + 41))
(x + (4 + 131)
O (x -(4+131)

Answers

Answer 1

Answer:

just took the test and it's D on edge

Step-by-step explanation:

Answer 2

The required factor of polynomial function f(x) is (x - 4 + 13i) . Option D

Polynomial function f(x) has roots 4 - 13i and 5.
What must be a factor of f(x) is to determined.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.


Since the root of the equation is given 5,  4 - 13i.
Now the factors can be given as (x - a)(x - b) for the polynomial function.


Implies (x - 5) and (x - (4-13i))


(x - 5) and  (x -4 + 13i) is the factor of the required polynomial function that has roots 4 - 13i and 5.

Thus, The required factor of polynomial function f(x) is (x - 4 + 13i) .

Learn more about polynomial function here:

https://brainly.com/question/12976257

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Related Questions

Oscar is raising monarch caterpillars for a summer science project. Every day, he feeds 4 fresh milkweed leaves to each caterpillar. Oscar wants to know how many caterpillars he can feed in a day with a total of 28 leaves. Which equation can Oscar use to find n, the number of caterpillars he can feed in a day?

Answers

Answer: n = 28/4

Step-by-step explanation:

Number of leaves uses to feed each caterpillar = 4.

If Oscar has 28 leaves, the number of caterpillars n he'll be able to feed in a day will be represented by the equation below:

n = 28/4

This implies that 7 caterpillars can be fed in a day.

Line u has a slope of -3/4. Line v is parallel to line u. What is the slope of v

Answers

Answer:

-3/4

Step-by-step explanation:

Slopes are equal for parallel lines

Slope of line v is -3/4

Select the correct answer.
In which direction must the graph of fx) = x be shifted to produce the graph of g(x) = x-6?
OA.
down
OB.
up
OC.
neither up nor down
OD
up and down

Answers

Answer:

it moves down

Step-by-step explanation:

for the graph originally f(x)=x and subtract 6 from it, it will move 6 units down, and to find the new coordinate you subtract 6 in y so (x , y-6)→for the new coordinate.

NOTE: if the graph added to 6 it will move up 6 units.

find the equation of the line. Use exact numbers.
help

Answers

Answer:

y = 2x + 4

Step-by-step explanation:

the line intersects the y axis at 4. so, b = 4

For the slope, to make it really easy, you can find a point where the line is on a point purfectly and just count how many times you went up or down and then left or right. Or, you can pick  2points and use the slope formula (y2-y1)/(x2-x1). the slope is 2.

A line passes through the point (8, -7) and has a slope of -3/4

Write an equation in slope-intercept form for this line

Answers

Answer:

y = -3/4x -7

Step-by-step explanation:

hope this helps!

use two unit multipliers to convert:
A. 6 miles to inches
B. 20 square feet to square inches

Answers

Answer:

A.380160 B. 240

Step-by-step explanation:

1 Square foot (sq ft) is equal to 144 square inches (sq in). To convert square feet to square inches, multiply the square foot value by 144.

What is the measure of Angle 1 in this figure?
A. 30°
B. 80°
C. 110°
D. 130°​

Answers

Answer:

A

Step-by-step explanation:

Answer will be
D. 130

-12.4 + 9.2 =
show work

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First we have to line them up by the decimal points...

         -12.4

       +  9.2

           -3.2

That's all after you solved it you get -3.2

HELP WIL GIVE BRAINLEIST

Answers

Answer:

Sorry and where is your questions..

Lea wrote a number riddle. Her clues were: 9 is 10 times the value of the 9 in 329,513 2 is 110 the value of the 2 in 7,562 6 is 110 the value of the 6 in 4.68 Which number is an answer to Lea's riddle? 19,426 95,826 341,950.26 498,173.26 I need help solving this question can someone plz help me

Answers

Answer: 498,173.26.

Step-by-step explanation:

Place value of the 9 in 329,513 = 9,000

9 is 10 times the value of the 9 in 329,513.

Then, place value of 9 in required number = 10x 9,000 = 90,000

from options only  95,826 and 498,173.26 has 9 at ten thousands place. (cancel all other options)

Also,  2 is [tex]\dfrac1{10}[/tex] the value of the 2 in 7,562.

place value of 2 in required number =[tex]\dfrac1{10}\times2=0.2[/tex]

i.e. place value of 2 in required number 2 tenths

which is in  498,173.26   [place value of 6 is  [tex]\dfrac1{10}[/tex] the value of the 6 in 4.68]

Hence, th required number is 498,173.26.

The polynomial function f(x)=x3−x2−4x+9 has one negative zero.

Between what integers does this negative zero occur?

Answers

This is the graph of the function and there is one negative zero which is the x-intercept and between -3 and -2

Cory, Josh and Dan went shopping for Halloween treats. Cory bought 3 chocolate pumpkins, 4 masks and 8 candy witches. He spent $36.65. Josh bought 5 chocolate pumpkins,3 masks and 10 candy witches. He spent $37.50. Dan bought 4 chocolate pumpkins, 5 masks and 6 candy witches. He spent $43.45. Write a system of equations to represent this problem.

Answers

Answer:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

Step-by-step explanation:

System of equations

Let's set the following variables:

x=Price of chocolate pumpkins

y=Price of masks

z=Price of candy witches

We'll establish the system of equations needed to know the prices of all the Halloween treats.

Cory bought 3 chocolate pumpkins, 4 masks, and 8 candy witches and he spent $36.65. This leads to the following equation:

[tex]3x+4y+8z=36.65\qquad\qquad [1][/tex]

Josh bought 5 chocolate pumpkins, 3 masks, and 10 candy witches and he spent $37.50. This leads to the following equation:

[tex]5x+3y+10z=37.50\qquad\qquad [2][/tex]

Dan bought 4 chocolate pumpkins, 5 masks, and 6 candy witches and he spent $43.45. This leads to the following equation:

[tex]4x+5y+6z=43.35\qquad\qquad [3][/tex]

Collecting the equations [1] [2] [3], we form the system of equations to represent this problem:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

3x^3-75x

please help
.....​

Answers

Answer :pls delete my answer.

Answer: 3x(x-5) (x+5)

Step-by-step explanation Step 1: Factor out comon coeffecient factor. 3x3 (exponent) - 75x.- 3(x3 (exponent)-25x)

Step 2: Find One factor. 3x(x2(exponent)-25)

Step 3 an final step: Find One factor again. Factor by grouping, Factor by grouping again, Factor by grouping a third time. Edit: I hope this was helpful and I wish the best of luck to the person that asked this question and people that want to know this question.

y=x-2


HELP MY RSM IS TOMORROW

Graph the lines given by the equation

Answers

Answer:

make a line going through points (2,0) and (0,-2) I put a picture.

Step-by-step explanation:

Which of the following is the correct equation for this function?

Answers

Answer:it’s D

Step-by-step explanation: put the equation into standard form and plugged it into my graphing calculator.

Use the distributive property to rewrite the following expression.
4(2x - 3)-3(x + 2)
Pls I only have 1 min to get this

Answers

Answer:

6x-12-3x+2

Step-by-step explanation:

8x-12-3x-6

5x-18 this is the answer

2x + 3y = 6

y = 2/3x - 2
y = 2/3x + 2
y = -2/3x - 2
y = -2/3x + 2

Answers

Answer:

y= −2/3x+2

Step-by-step explanation:

2x+3y=6

Add -2x to both sides.

2x+3y+−2x=6+−2x

3y=−2x+6

Divide both sides by 3.

3y/3=−2x+6/3

The cost of the lunches for the field trip can be represented by the expression:

4(29) + 4(6).

Identify the values to make these expressions true.

Expand 29 to create an equivalent expression with friendly numbers.
4(
) + 4(6)
Distribute the 4.

Evaluate the multiplication
80 + 36 + 24 =

Answers

20 + 9 is the first answer

4(20)+4(9)+4( 6) is the second answer

80+36+24=140 is the third answer :)

Answer:

1: 20 + 9

2: 4(20) + 4(9) + 4(6)

3: 140

Step-by-step explanation:

look at the picture

Need all these questions answer plz

Answers

Step-by-step explanation:

1 result(s) found

x  

2

−x−3

Step by Step Solution:

More Icon

STEP

1

:

Equation at the end of step 1

 

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3 + 3x2 - 7x - 12

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -12.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,12

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -3.00      

     -2       1        -2.00        6.00      

     -3       1        -3.00        9.00      

     -4       1        -4.00        0.00      x + 4  

     -6       1        -6.00        -78.00      

     -12       1       -12.00       -1224.00      

     1       1        1.00        -15.00      

     2       1        2.00        -6.00      

     3       1        3.00        21.00      

     4       1        4.00        72.00      

     6       1        6.00        270.00      

     12       1        12.00        2064.00      

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3 + 3x2 - 7x - 12  

can be divided with  x + 4  

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3 + 3x2 - 7x - 12  

                             ("Dividend")

By         :    x + 4    ("Divisor")

dividend     x3  +  3x2  -  7x  -  12  

- divisor  * x2     x3  +  4x2          

remainder      -  x2  -  7x  -  12  

- divisor  * -x1      -  x2  -  4x      

remainder          -  3x  -  12  

- divisor  * -3x0          -  3x  -  12  

remainder                0

Quotient :  x2-x-3  Remainder:  0  

Trying to factor by splitting the middle term

2.5     Factoring  x2-x-3  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -1 .

     -3    +    1    =    -2  

     -1    +    3    =    2  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6    Cancel out  (x+4)  which appears on both sides of the fraction line.

Final result :

 x2 - x - 3

Terms and topics

More Icon

Polynomial root calculator

Polynomial long division

Related links

More Icon

Root Finder -- Polynomials Calculator

How to factor five term polynomial - Yahoo Answers

Long Polynomial Division

Polynomial long division - Wikipedia

Polynomial Long Division

Polynomials - Long Division

I can’t find answers to this question. Please help.

Answers

Answer:

Did you try looking it up

Step-by-step explanation:

sorry If I am wrong and don't forget to make me brainliest

Which equation in standard form has a graph that passes
through the point (-5,11) and -2.5 is the slope.

Answers

Is there a picture so I can give you more information? Please let me know how I can help

If you order 3 chickens wraps and order 2 orders of potatoes for a total bill of $42.95 someone else orders 5 chicken wraps and 4 orders of potatoes for a total bill of $74.91. What is the cost of a chicken wrap and what is the cost of one order of potatoes

Answers

Answer: The cost of a chicken wrap is $10.99

The cost of one order of potatoes is $4.99.

Step-by-step explanation:

Let the cost of a chicken wrap be x

Let the cost of one order of potatoes be y.

From the question,

3x + 2y = $42.95 ...... equation i

5x + 4y = $74.91 ....... equation ii

Multiply equation i by 5

Multiply equation ii by 3

15x + 10y = $214.75 ..... equation iii

15x + 12y = $224.73 ....... equation iv

Subtract equation iv from equation iii. This will be:

-2y = -$9.98

y = $9.98/2

y = $4.99

Since 3x + 2y = $42.95

3x + 2($4.99) = $42.95

3x + $9.98 = $42.95

3x = $42.95 - $9.98

3x = $32.97

x = $32.97/3

x = $10.99

The cost of a chicken wrap is $10.99

The cost of one order of potatoes is $4.99.

If you were to describe a translation of triangle ABCABC, what information would you need to include in your description? If you were to describe a rotation of triangle ABCABC, what information would you need to include in your description? If you were to describe a reflection of triangle ABCABC, what information would you need to include in your description?

Answers

Answer:

1) The information required in order to describe a translation of triangle ABC to A'B'C', are;

a) The coordinates of the vertices of the triangle ABC

b) The amount by which the triangle ABC is translated along the x-axis

c)  The amount by which the triangle ABC is translated along the yx-axis

2) The information required in order to describe a rotation of triangle ABC to A'B'C', are;

a) The coordinates of the vertices of the triangle ABC

b) The coordinates of the point about which the triangle ABC is to be rotated

c) The amount in degrees, the triangle ABC is to be rotated

2) The information required in order to describe a reflection of triangle ABC to A'B'C', are;

a) The coordinates of the vertices of the triangle ABC

b) The equation of the line about which the triangle ABC is to be reflected

Step-by-step explanation:

Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?

Answers

Answer:

the product of the two integers is -80

Answer:

-80

Explanation:

it was on a mathcounts competition

if you dog a 6ft hole...how deep is that hole??
-Beetlejuice

Answers

Answer:

im confused lol

Step-by-step explanation:

Answer:

6ft

Step-by-step explanation:

how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST

Answers

Answer:

5

Step-by-step explanation:

SksisjsjsjsssnksisnsbxnxlxodjsbsbdfjfJ

Answers

uhhhh yea i agree as well

simplify the following expression: -4x^5y^4x x 5xy^7z^4

Answers

Answer:

-4x^12y^11z^4

Step-by-step explanation:

I need help please it’s due in a couple of minutes

Answers

Answer:

1. 16=v    top left

2. n=5.8   bottom left

3. n= -31.9   top right

4. b= 6 .   bottom right

If I am wrong I am sorry

FINDDD VALUE OF Y!!!!

Answers

Answer:

The sum of the internal ángles = 360°

(3y+40)°  and  (3x-70°) are suplementary angles = 180°

then:

(3x-70) + (3y+40) + 120 + x = 360     ⇒ first eq.

(3y+40) + (3x-70) = 180      ⇒  second eq

development:

from the first eq.

3x + x + 3y  =  360  + 70 - 40 - 120

4x + 3y = 430 - 160

4x + 3y = 270       ⇒  third eq.

3y = 270 - 4x

y = (270 - 4x) / 3    ⇒  fourth eq.

from the secon eq.:

3y + 3x = 180 + 70 - 40

3y + 3x = 250 - 40

3y + 3x = 210    ⇒  fifth eq.

multiply by -1  the fifth eq and sum with the third eq.

  -3y  - 3x = -210    ⇒   (fifth eq. *-1)

   3y  + 4x = 270

⇒  0   +  x  = 60

x = 60°

from the fourth eq.

y = (270-4x)/3

y = (270-(4*60)) / 3

y = (270 - 240) / 3

y = 30/3

y = 10°

Probe:

from the first eq.

(3x-70) + (3y+40) + 120 + x = 360

3*60 - 70 + 3*10 + 40 + 120 + 60 = 360

180 - 70 + 30 + 40 + 120 + 60 = 360

180 + 30 + 40 + 120 + 60 - 70 = 360

430 - 70 = 360

Answer:

y = 10

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