Question

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

Answer 1

(x+7) is not a factor

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\\eq 0`

therefore

(x+7) is not a factor