463,927 views
29 votes
29 votes
Create a factorable polynomial with a GCF of 7. Rewrite that polynomial in two other equivalent forms. Explain how each form was created. (10 points)

User David Braun
by
2.9k points

2 Answers

20 votes
20 votes

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

The above polynomial can also be rewritten as

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

User Akkuma
by
2.4k points
19 votes
19 votes

Answer:

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.

User Newbies
by
3.4k points