Question

if x3+2x2+ax+b has factors x+1 and x-1 then find a,b
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Answer 1

Answer:

f(1) and f(−a) both are equal to 0 by factor theorem.

∴ f(1)=1+2+a+b=0 and f(−a)=−a

3

+2a

2

−a

2

+b=0

∴ a+b=−3 and −a

3

+a

2

+b=0

Thus, on solving two equations we get, a=−1 and b=−2

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Answer 2

Answer:

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Step-by-step explanation:

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