Problem
Factor 6x² 11x 10.
Solution
Step 1: Find the factors of ac that add up to b.
6(-10) = 60
ac C
b-11
The factors of -60 that add up to -11 are
and
Step 2: Rewrite the trinomial with the x-term expanded, using
the two factors from Step 1.
6x² 112 10
(6x² - 4x
+(15x
10)
Step 3: Group the first two and second two terms together, find
the GCF and factor again.
(2x 5)+
(2x - 5)
