Question

find the value of a, if x- A is a factor of x cube - A square x + X + 2​

Answer 1

REFER TO THE ATTACHMENT ❣️

Answer 2

Answer:

$\Huge{\texttt{\boxed{a = -2}}}$

Step-by-step explanation:

$p(x) = x^3 -a^2x+x+2\\g(x) = x-a=0\\\:\:\:\:\:\implies x = a\\p(a) = (a)^3 -a^2(a)+a+2=0\\\implies a^3 - a^3 +a +2 = a+2=0\\\implies \boxed{\bold{a = -2}}$