AP ICET 2015 Paper

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Question : 126 of 200

Marks: +1, -0

If the polynomial

7x^{4}+4x^{3}-6x^{2}+ax+b

is divisible by

x-1

and

x+1

, then

a+b=

-5
-4
-3
-1

Solution:

Let

7x^4+4x^3-6x^2+ax+b

be f (x).
When f (x) is divisible by (x – a), then f(a) = 0

∴f(1)=7+4-6+a+b=0

⇒a+b=–5

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