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
Top Related