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3 years ago

6

Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial P(x) = x3 − 2x2 − 5x + 6 is divided by (x

− 1).
I will mark brainliest if correct

1 answer:

VLD [36.1K]3 years ago

4 0

Answer:

Step-by-step explanation:

1_| 1 -2 -5 6

<u> 1 -1 -6</u>

1 -1 -6 0

Q(x)= x^2 - x - 6

R: 0

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balu736 [363]

Option D: $10x^4+x^3-7x^2-2x+12$ is the right answer

Step-by-step explanation:

Given polynomials are:

$P_1 : 2x^4+5x^3-8x^2-x+10\\P_2: 8x^4-4x^3+x^2-x+2$

We have to find the sum of polynomials

So,

$S = P_1+P_2\\= (2x^4+5x^3-8x^2-x+10) + (8x^4-4x^3+x^2-x+2)\\=2x^4+5x^3-8x^2-x+10+8x^4-4x^3+x^2-x+2\\$

Combining like terms

$=2x^2+8x^4+5x^2-4x^3-8x^2+x^2-x-x+10+2\\= 10x^4+x^3-7x^2-2x+12$

Hence,

Option D: $10x^4+x^3-7x^2-2x+12$ is the right answer

Keywords: Polynomials, sum

Learn more about polynomials at:

#LearnwithBrainly

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3 years ago

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Fynjy0 [20]

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Step-by-step explanation:

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