Algebra II 5.4 Factoring Quadratic Expressions
LEQ: How do you factor a quadratic expression?
Procedure:
1. Finding Common and Binomial Factors:
a. Definition 1: ______________________ is rewriting an expression as the
product of its factors.
b. Definition 2: The ________________________________ is a common
factor of the terms of the expression.
c. Examples 1 – 5: Finding Common Factors:
Factor each expression.
d. Examples 6 – 9: Factoring When ac > 0 and b > 0:
Factor each expression. Check your solutions.
e. Examples 10 – 13: Factoring When ac > 0 and b 0:
Factor each expression.
h. Examples 22 – 25: Factoring When a ≠ 1 and ac < 0:
Factor each expression.
2. Factoring Special Expressions:
a. Definition 3: A ____________________________ is the product you
obtain when you square a binomial.
b. Example 26 – 29: Factoring a Perfect Square Trinomial:
Factor each expression.
c. Definition 4: An expression of the form a2 – b2 is defined as the
_____________________________________.
d. Examples 30 & 31: Factoring a Difference of Two Squares:
3. HW: pg. 263 (3 – 45 mo3)