Factoring Polynomials

Section 2.4

Standards Addressed: A1.1.1.5, A1.1.1.5.3, CC.2.2.HS.D.1, CC.2.2.HS.D.2, CC.2.2.HS.D.5

Essential Questions How does the FOIL method relate to

factoring quadratic trinomials and a difference of two squares?

Why should we factor?

Factoring Checklist Factor out the GCF. If the polynomial has two or three terms,

look for: A quadratic trinomial (which can result in

a pair of binomial factors) A difference of two squares

Check that each factor is prime. Check your answer by multiplying all of

the factors.

A quadratic trinomial is a trinomial that is in the format

ax2 + bx + c,where a, b, and c are integers.We will only be working with

quadratic trinomials where a = 1. Factoring a quadratic trinomial

involves recognizing patterns, estimating, looking for clues, and

multiplying to check.

ax2 + bx + c

Quadratic trinomials can often be factored as a product of

two binomials. To do so, determine which two numbers have a product equal to c and

a sum equal to b.

Example 1: Factor

Factors of _____ whose sum is _____

Factors of _____ whose sum is _____

Example 1: Factor

Factors of _____ whose sum is _____

Factors of _____ whose sum is _____

Worksheet:Factoring Trinomials

Some binomials can be factored as a difference of

two squares.

a2 – b2 = (a + b)(a – b)

Example 2: Factor

Always check to make sure all polynomials are factored completely.

Example 3: Factor