Name
Date
*When two numbers are multiplied, each number is a factor of the product. Similarly, when
two binomials are multiplied, each binomial is a factor of the product.
Form: x² + bx + c
Ex. 1
Identifying Parts
a) x2 – 9x + 14
b = __________
c = __________
b) a2 – 9a – 36
b = __________
c = __________
c) x2 + 2x – 15
b = __________
c = __________
d) b2 + 22b + 21
b = __________
c = __________
KEY CONCEPT: Factoring x² + bx + c
Words: When factoring trinomials in the form x² + bx + c, we want to find two integers that
have a sum of “b” and a product of “c.”
Example: x² + 5x + 6. We want to find two numbers that have a product of 6, but also have a
sum of 5. What are they?
____________________________
Ex. 2
Factoring Trinomials
a) x2 + 6x + 8
b) x2 – 10x + 16
c) x2 + 2x – 15
d) x2 – 7x – 18
Ex. 3
Solve an Equation by Factoring
a) x2 + 5x – 6 = 0
b) x2 + 16x + 28 = 0
c) g2 + 6g – 27 = 0
d) z² = 18 – 7z