Question

Is (x+7) a factor of f(x) x3-3x2+ 2x-8?

Answer 1

Answer:

(x+7) is not a factor

Step-by-step explanation:

we know that

If (x+7) is a factor of f(x)

then

For $x=-7, f(-7)=0$

Verify

we have

$f(x)=x^{3}-3x^{2} +2x-8$

Substitute x=-7

$f(-7)=(-7)^{3}-3(-7)^{2} +2(-7)-8$

$f(-7)=-343-147 -14-8$

$f(-7)=--512$

$-512\neq 0$

therefore

(x+7) is not a factor