Factor when b and c are positive

1
EXAMPLE 1
Factor when b and c are positive
Factor x2 11x 18.
SOLUTION
Find two positive factors of 18 whose sum is 11.
Make an organized list.
2

EXAMPLE 1
Factor when b and c are positive
The factors 9 and 2 have a sum of 11, so they are
the correct values of p and q.
CHECK
(x 9)(x 2)
x2 2x 9x 18
Multiply binomials.
Simplify.
3
for Example 1
GUIDED PRACTICE
Factor the trinomial
1. x2 3x 2
2. a2 7a 10
3. t2 9t 14.