2. ESSENTIAL UNDERSTANDING AND
OBJECTIVES
Essential Understanding: you can factor many
quadratic trinomials into products of two binomials
Objectives:
Students will be able to:
Find common and binomial factors of quadratic
expressions
Factor special quadratics
Perfect square trinomial
Difference of two squares
3. IOWA CORE CURRICULUM
Algebra
A.SSE.2. Use the structure of an expression to
identify ways to rewrite it.
4. What are factors?
What are the factors of 12?
Factors of an expression are expressions that have
a product equal to the given expression
Factoring: rewriting an expression as a product of
its factors
You can use the Distributive Property or the FOIL
method to multiply two binomials.
9. GCF
Greatest Common Factor (GCF) of an expression
A common factor of the terms in the expression.
Common factor with the great coefficient and the greatest
exponent
Finding Common Factors
What is the expression in factored form?
6 x2 + 9x
4 x2 + 20x – 56
7 n2 – 21
10. WHAT IS THE EXPRESSION IN FACTORED
FORM?
9 n2 + 9n – 18
4 x2 + 8x + 12
11. FACTORING AX2 + BX + C WHEN A ≠±1
AND THE GCF = 1
Find factors of a times c (ac) that add to be b
2x2 + 11x + 12
4x2 – 4x – 3
4x2 + 7x + 3
2x2 – 7x + 6
12. PERFECT SQUARE TRINOMIAL
A trinomial that is a square of a binomial
Example: x2 + 10x + 25 = (x + 5)2
Forms
a2 + 2abx + b2 = (a + b)2
a2 - 2abx + b2 = (a - b)2
Factor the following
1. 4x2 – 24x + 36
2. 64x2– 16x + 1
13. DIFFERENCE OF TWO SQUARES
a2 – b2 = (a + b)(a - b)
Factor the following
1. 25x2 – 49
2. 16x2 – 81