This document discusses factoring trinomials that have a greatest common factor (GCF). It explains that you must first find the GCF and divide each term by it before factoring the trinomial. It provides the examples of 10x^2+5x-15 and 9x^2-42x+24, showing that the GCF of the first is 5 and the second is 3, and demonstrating how to factor each fully after dividing out the GCF.

1. Factoring with multiple steps
Some trinomials have a GCF you must factor
out before you factor the problem. Divide this
value out first, then factor the trinomial.

2. Try these. Find the GCF first, then
factor
●
10x²+5x-15 ●
9x²-42x+24

3. 10x²+5x-15
The GCF is 5. Divide it
out of each term.
5(2x²+x-3)
Factor what it inside the
parenthesis. Either
method works.
Write your factored
answer with your GCF in
the front.
5(2x+3)(x-1)

4. 9x²-42x+24
The GCF is 3. Divide it out of each term.
3(3x²-14x+8)
Factor what it inside the parenthesis. Either method
works.