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 [tex]x=-7, f(-7)=0[/tex]
Verify
we have
[tex]f(x)=x^{3}-3x^{2} +2x-8[/tex]
Substitute x=-7
[tex]f(-7)=(-7)^{3}-3(-7)^{2} +2(-7)-8[/tex]
[tex]f(-7)=-343-147 -14-8[/tex]
[tex]f(-7)=--512[/tex]
[tex]-512\neq 0[/tex]
therefore
(x+7) is not a factor
