Question

Check whether the polynomial p(x)=4x3+4x2
-x-1 is a multiple of (2x+1).

Answer 1

$\mathfrak{Question:}\\ \bf Check\ whether\ the\ polynomial\ p(x)=4x^3+4x^2-x-1\ is\ a\ multiple\ of\ (2x+1).$

Explanation:

To know whether 2x+1 is a factor of 4x^3+4x^2-x-1 we will need to divide 4x^3+4x^2-x-1 by 2x+1.

The division is given in the attachment.

By the way, yes!, 2x+1 is a factor of 4x^3+4x^2-x-1.