Question

Find the value of a , if ( x ‐a) is a factor of x³‐a²x+x+2



please tell the answer by step by step explanation
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Answer 1

Step-by-step explanation:

$p(x) = {x}^{3} - {a}^{2} x + x + 2 \\ because\:\: x-a \: is\: a \:factor\: of\: p(x)\\ p(a) = {a}^{3} - {a}^{3} + a + 2 = 0 \\ a + 2 = 0 \\ \\ a = - 2$