Can you factor the gcf after factoring out the trinomials?

Answer 1

If you've factored out the trinomials and want to find the greatest common factor (GCF) of the remaining terms, you can look for common factors among the coefficients and variables in each term.

Let's say you have factored the trinomial

�

�

2

�

�

�

ax

2

+bx+c into the form

�

(

�

−

�

)

(

�

−

�

)

a(x−r)(x−s), where

�

r and

�

s are the roots or solutions of the trinomial. Now, let's consider the factored form of the trinomial along with any additional terms you have:

�

(

�

−

�

)

(

�

−

�

)

additional terms

a(x−r)(x−s)+additional terms

To find the GCF, you'll look for common factors in the coefficients and variables. The GCF will be the product of the common factors.

For example, if the remaining terms are

2

�

−

4

2x−4, you can factor a 2 from both terms:

2

(

�

−

�

)

(

�

−

�

)

2

(

�

−

2

)

2(x−r)(x−s)+2(x−2)

Now, the GCF is

2

2 because it is the common factor in both terms.

If you have specific trinomials or terms you'd like help factoring, feel free to provide them, and I can guide you through the process

Answer 2

Yes, but it's easier to factor out the GCF first.