Question

9. Use Remainder theorem to factorize the following polynomial:
2x3 + 3x2 - 9x - 10.
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Answer 1

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Step-by-step explanation:

Answer:

{The factors are (x-2), (x+1) and (2x+5)}

Step-by-step explanation:

Let P(x)=2x^3+3x^2-9x-10

{put x=2}

P(2)=2(2)^3+3(2)^2-9(2)-10

P(2)=16+12-18-10

P(2)=0

{(x-2) is a factor of P(x)}

{put x=-1}

P(-1)=2(-1)^3+3(-1)^2-9(-1)-10

P(-1)=-2+3+9-10

P(-1)=0

{(x+1) is a factor of P(x)}

{By synthetic division, we have}

{The remaining factor is (2x+5)}

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