Question

Find g(x)= x+1 is a factor of p(x) + 2x^3+x^2 -2x-1

Answer 1

g(x)=-1
p(-1)+2(-1)^3+(-1)^2-2(-1)-1
-p+2(-1)+(1)+2-1
-p-2+1+1
-p-2+2
-p+0
-p

Answer 2

follow the attachment above

therefore,g(x)=
$2 {x}^{2} - x - 1$