Question

PLEASE HELP ASAP!!!! 50 POINTS!!

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

The above polynomial can also be rewritten as

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

Answer 2

Hope this helps!!

Explanation:

2ya and 2yb where a and b have no common factors and a and b are polynomaals

a=(x+2)(x+3)

b=(x+4)(x+5)

no common factors betwen a and b

so

2ya=2y(x+2)(x+3)=2yx²+10xy+12y

2yb=2y(x+4)(x+5)=2yx²+18xy+40y

the 2 polynomials are 2yx²+18xy+40y and 2yx²+10xy+12y