Question

17. Find the value of a for which the polynomial (x^4 – x^4 – 11x^2 – x + a) is
divisible by (x + 3).

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Answer 1

$P(x) = x^4-x^3-11x-x+a$

$= x^4-x^3-12x + a$

$P(-3) = 81+27+36+a =0$

So, $a = -144$

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