Question

Create a factorable polynomial with a GCF of 2y. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

Answer 1

The GCF of a polynomial is the greatest factor which is common to all the terms of the polynomial.

Thus, an example of a polynomial with a GCF of 2y is
$6y^3-12y^2+4y$

The above polynomial can also be rewritten as
$2y(3y^2-6y+2)$

This form of the polynomial is obtained by factoring out the GCF of the polynomial.