PLEASE HELP —>50 POINTS

What are the linear factors of 2x^4 +13x^3+27x^2+13x-15 if the remainder upon division with x^2 +4x +5 is zero?

Answers

Answer 1

Step by step solution :

STEP

1

:

Equation at the end of step 1

 ((((2•(x4))-(13•(x3)))+33x2)-13x)-15  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((((2•(x4))-13x3)+33x2)-13x)-15  = 0  

STEP  

3

:

Equation at the end of step

3

:

 (((2x4 -  13x3) +  33x2) -  13x) -  15  = 0  

STEP

4

:

Polynomial Roots Calculator :

4.1    Find roots (zeroes) of :       F(x) = 2x4-13x3+27x2-13x-15

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

Answer 2

The linear factors of the given polynomial are (2x+3)(x+1)(x+2+i)(x+2-i)

What is linear factor?

The linear factors of polynomials are the first-degree equations that act as the building block for the simple or complex higher-order polynomials.

Given that, a polynomial 2x⁴+13³+27x²+13x-15, the remainder upon division with x²+4x +5 is zero,

That means, x²+4x +5 is a factor of the given polynomial,

On diving 2x⁴+13³+27x²+13x-15 by x²+4x +5 we get 2x²+5x+3 as quotient that means,  x²+4x +5 and 2x²+5x+3 are the factors of the polynomial,

On factorizing both the factors we get,

(2x+3)(x+1)(x+2+i)(x+2-i)

Hence, the linear factors of the given polynomial are (2x+3)(x+1)(x+2+i)(x+2-i)

For more references on linear factors, click;

https://brainly.com/question/2510777

#SPJ2


Related Questions

what is the monthly interest payment for an account with a balance of $200.00 and an A.P.R of 18%

Answers

Answer:

Find the monthly rate: Divide the APR by 12. : 18/12= 1.5

Multiply that the monthly rate by the amount of the loan: $200X1.5% = 3.-

$3.- is the monthly interest payment

Ann borrowed $3000 from a lender that charged simple interest at an annual rate of 7% When Ann paid off the loan, she paid $420 in interest. How long was the loan for, in years?

Answers

Answer:

it was a 2 year loan with $210 contributed each year

Step-by-step explanation:

you take 7 percent of 300 which is 210 and see how many times it goes into the total interest amount and then your answer is how many years the loan was for


what is the answer to this subtraction problem​

Answers

Answer:

i d k

Step-by-step explanation:

what is f?

(6f^2 - 9f + 10) - ( -2f^2 - f + 3)

So first, you have to distribute the minus in the middle. You ALWAYS have to. So when you do that, the minus changes to a plus, and everything on the right side of it changes from positive to negative or negative to positive. So it would turn into this -

(6f^2 - 9f + 10) + (2f^2 + f - 3)

Now, you can combine like terms. Add each one that matches. (Add the ones that have 1 f, or f^2)

Answer:
8f^2 - 8f + 7

Solve for x in the following equation: 4(-5x-6) = 4(9x+4)

Answers

Answer:

[tex] - 20x - 6 = 36x + 4 \\ 36x + 20x = - 6 - 4 \\ 56x = - 10 \\ x = \frac{ - 10}{56} \\ x = - 0.17571428[/tex]

What is 1,000,000 written as a power with a base of 10?

Answers

Answer:

101=10 101=1

106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)

107=10,000,000 (ten million) 10-6=0.000001 (one millionth)

108=100,000,000 (one hundred million) 10-7=0.0000001 (one ten millionth)

Step-by-step explanation:

Answer:

10^6

Step-by-step explanation:

Please help 20 points

Answers

could you insert the image of the doghouse / part d?

please help me please

Answers

Answer:

It won't let me see the picture

Step-by-step explanation:

Multiply 5 or d. Dhbsjvbdnd

1) (35 + 17) + 43 = 35+ (17 + 43)

Answers

Answer:

95?

Step-by-step explanation:

What percentage is 20 of 92?

Answers

Answer:

21.72% is correct answer

Answer:

 

18.4

Step-by-step explanation:

A refrigerator costs $429 to buy and its label says that estimated energy costs are $43 per year. Another brand costs $399, but its energy costs are $48 per year. If x is the years of ownership and y is the total dollars spent, write the ordered pair (x,y) that shows at what point the owner would have spent the same amount of money on either brand.

Answers

Answer:

(6, 687)

Step-by-step explanation:

do 4 x + 15 + x have the same value when it's 5​

Answers

Answer:

If you mean 4x = 15 + x, then yes.

Step-by-step explanation:

4 × 5 = 20

15 + 5 = 20

20 = 20

what single decimal multiplier would you use to decrease by 7% followed by a 20% decrease

Answers

Answer:

x 0.27

Step-by-step explanation:

if they are both decreasing then just add the two percentages together then divide by 100 to give you your decimal answer

It would be 0.27 :)


Hope it helped hehe

10)
Which set of numbers is NOT in the solution set of the inequality x > 17?
A
(14, 15, 18, 25, 29)
B)
(18.21, 25, 27, 33)
D
(29.32, 35.40.55)

Answers

Answer:

a

Step-by-step explanation:

numbers all have to be greater than 17. 14 and 15 are both less than

What two numbers have a sum of 142 and a difference of 16?​

Answers

Answer:

x=79,y=63 I have solve it in above picture

What is the value of n when n = -4?

Answers

The answer is in your question.. figure it out!

Answer:

what the whole question

Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week

Answers

Answer:

She read 277 pages during the second week.

Step-by-step explanation:

215 + 62.

Answer: she read 277 books

Step-by-step explanation:

This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?

Answers

Answer:

$2690.28

Step-by-step explanation:

2862 decrease 6% =

2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28

Answer:

2700

Step-by-step explanation:

106%-> 2862

100%->2700

Find x. (The picture has the info)

Answers

Answer:

X=5

Step-by-step explanation:

3x+9 is twice of 12 (24). 24-9=15, and 3*5=15, so x=5.

The time of a pendulum varies as the square root of its length. If the length if a pendulum which beats 15seconds is 9cm, find the length that beats 80seconds and the time of a pendulum with length 36cm

Answers

Answer:

length= 3.7 ft.

Step-by-step explanation:

T= (square root of length) * k

1.8 seconds = (square root of 3) * k

k= 1.8 seconds / (square root of 3)

a.) T= (square root of 11) k

substituting k:

T=(square root of 11) * 1.8 seconds / (square of 3)

T= 3.4 seconds

b.) 2 seconds = (square root of length) k

substituting k:

2 seconds =(square root of length) 1.8 seconds / (square root of 3)

Divide the equation by 1.8 seconds / (square root of 3):

2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)

10(square root of 3) / 9 = (square root of length)

square both sides:

100/7 ft= length

length= 3.7 ft.

Hope this helps.

−1/5(x−4)=−2
Solve for x

Answers

the answer would be x = 14

A pair of shoes that originally sold at $30 is now being offered at a 25% discount.
What is its present price?

Answers

Answer:

$22.5

Step-by-step explanation:

You will pay $22.5 for a item with original price of $30 when discounted 25%.

Answer:

Refer to explanation

Step-by-step explanation:

The screenshot you put is the correct answer, here's another method to get the same answer:

Find what 25% is.

100% = 30

1% = 30 ÷ 100 = 0.30

25% = 0.30 x 25 = 7.50

Find the price after the 25% discount.

100 - 25 = 75

75% = 30 - 7.50 = 22.50 or 0.30 x 75 = 22.50 (Both solutions give the same answer)

3(3x-6)-4(x+2) help me pleasw

Answers

Answer:

5x-26

Step-by-step explanation:

3(3x-6)-4(x+2)

Distribute the 3 and -4.

9x-18-4x-8

Combine like terms.

5x-26

Answer:

9x-18-4x-8

5x-26 ANS

Step-by-step explanation:3*3 = 9 and x is there

and - is their so - 3*6 = 18 = -18

and - is there so -4*x = -4x and + - = - so - 4*2= -8

What is the degree of the monomial?

Only write the numerical value as your answer.

8x^3

Answers

Responder:

1

Explicación paso a paso:

cuando una variable no tiene exponente, el grado siempre es uno. Ej: 8x es lo mismo que 8x elevado a 1

If x=5 then what is 3x+(2-4x). P.S. standard form

Answers

Answer:

-3

Step-by-step explanation:

3x+(2-4x)

3*5+(2-4*5)

3*5+(2-20)

3*5+(-18)

3*5-18

15-18

-3

3x + 2 - 4x
3x - 4x + 2
-1x + 2
-1(5) + 2

What is the first step in solving the equation 9m - 2 = 16?
Add 2 to each side.
Subtract 2 from each side.
Divide each side by 9.
Multiply each side by 9.

Answers

Answer: Add 2 to each side

Step-by-step explanation:

9m-2=16

+2 +2

9m=18

add 2 to each side so 9m = 16 + 2

ABCD is a parallelogram
M is the midpoint of CB
N is the midpoint of AB
DA = a
DC = c
a) find, in terms of a and c, the vector of MN
b) show that CA is parralel to MN

Answers

Answer:

Part a)

MN = 0.5a-0.5c

Part b)

MN=0.5a-0.5c

CA=a-c

CA is parallel to MN because 2×MN = CA.

Step-by-step explanation:

Part a = We know that ABCD is a parallelogram (stated), thus opposite sides must be equal. So given that DA = a, CB = a, DC = c, AB = C.

MN = MB+BN, so as M is the midpoint of CB then MB = 1/2 a and as we are going against AB (we are doing BN) then it will be -0.5c as N is the midpoint of AB.

Part B= More of a mathswatch error, where you have to quite literally put the precise answer. CA = CD+DA so -c (as we are going the opposite way to DC) + a.

CA = -c+a

Now CA is a multiple of MN. But Mathswatch prefers if you say that CA is parallel to MN because MN times 2 is equal to CA

In this exercise we have to use the knowledge of parallelogram and vectors to give the values ​​of each one of them, like this:

A) MN = 0.5a-0.5c

B)CA is parallel to MN because 2×MN = CA.

First, we have to remember the definition of parallelogram:

A polygon is any flat closed shape made of straight line segments. A parallelogram is a polygon with 4 sides in which sides that don't touch each other are parallel.

A) We know that ABCD is a parallelogram, thus opposite sides must be equal. So given that:

[tex]DA = a,\\CB = a, \\DC = c, \\AB = C.[/tex]

[tex]MN = MB+BN\\MB = 1/2\\BN=-0.5c\\MN = 0.5a-0.5c[/tex]

B)Where you have to quite literally put the precise answer, so we have that:

[tex]CA = CD+DA \\CD=-c\\DA=a\\CA = -c+a\\[/tex]

See more about parallelogram at brainly.com/question/555467

Question 1) Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x - 3y = 13, x + 2y = -4. ( I'll post a picture of the question and problem incase there's any confusion). Will Mark Brainliest.​

Answers

Answer:

x = 2 and y = -3

Step-by-step explanation:

The given equations are:

2x - 3y = 13 ...(1)

x + 2y = -4 ...(2)

Multiply equation (2) by 2.

2x + 4y = -8 ...(3)

Subtract equation (3) from (1).

2x - 3y-(2x + 4y) = 13-(-8)

2x-3y-2x-4y = 13+8

-7y = 21

y = -3

Put the value of y in equation (2).

x + 2(-3) = -4

x-6=-4

x = 6-4

x = 2

So, the solution of the given equations are x = 2 and y = -3.

if mia Khalifa was black what would her situation be

Answers

Answer:

i really don’t know

Step-by-step explanation:

that’s an interesting question

Answer:

i dont know but can we do rp on pad.let?

Step-by-step explanation:

Geometry Will give Brainlist

Answers

Direct answer :[tex]\color{plum}\boxed{\bold{\tt Statements :} } [/tex]segment AE and BD bisect each other. ∠BCA and ∠DCE are equal. Segment AC and segment CE are equal. Segment BC and segment CD are equal. △ACB≅△ECD

[tex]\color{plum}\boxed{\tt Reasons : }[/tex]Given. They are vertically opposite angles, so they are equal.The bisector BD divides segment AE into two equal parts which are Segment AC and segment CE.The bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.△ACB≅△ECD under the SAS congruence criterion because two sides and one included angle is equal.

Steps to derive these statements and reasons :

Given :

segment AE and segment BD bisect each other

Which means :

∠BCA and ∠DCE are equal because they are vertically opposite angles. Segment AC = segment CE because the bisector BD divides the segment AE into two equal parts which are segment AC and segment CE.segment BC and segment CD will be equal because bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.

Since two sides and one included angle is equal △ACB≅△ECD under the SAS congruence criterion .

Given a point translated from A(1,2) to B(4,4). If a point C at (0,0) is translated in the same way, what will be its new endpoints?


A.(−3,−2)

B.(3,2)

C.(2,2)

D.(3,3)​

Answers

Answer:

B.(3,2)

Step-by-step explanation:

Point translated from A(1,2) to B(4,4).

This means that for x, we add 3 units(4 - 1 = 3), while for y, we add two units(4 - 2 = 2).

If a point C at (0,0) is translated in the same way, what will be its new endpoints?

0 + 3 = 3

0 + 2 = 2

So

B.(3,2)

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