Q. 114.2( 5 Votes )

What should be ad

Answer :

Let p(x) = x3 + 2x2 – 9x + 1


And g(x) = x + 4


Now put g(x) = 0


X + 4 = 0


X = –4


So remainder of p(x) when divided by g(x) = p(–4)


P(–4) = (–4)3 + 2(–4)2 – 9(–4) + 1


P(– 4) = –64 + 32 + 36 + 1


P(– 4) = 5


– 5 should be added to p(x) so that p(x) is completely divisible by x + 4.


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