Question

Create a factorable polynomial with a GCF of 7. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

Answer 1

7(3x^2-6x+2) is the anwser.

Answer 2

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 7 is

`21x^2-42x+14`

The above polynomial can also be rewritten as

`7(3x^2-6x+2)`

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