Question

For what value of h is the polynomial f(x) =2x³-hx²+5x+9is exactly divisible by x+2

Answer 1

for the for the polynomial to be divisible by X + 2 f(-2) must be zero
by remainder theoram
so
$2( - 2) {}^{3} - h( -2) {}^{2} + 5( - 2) + 9 = 0$
-4h = 17
h=-17/4
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