Polynomials, as we have learned, can be added, subtracted, multiplied, and divided. When multiplying polynomials, we must depend on the distributive property in order to multiply correctly.
Distributive property: a(b+c) = ab+ac
Factoring is an important algebraic concept, because the process allows us to solve more complex problems and equations. Though we will not learn how to apply the factoring method to solving equations in this unit, we will learn various factoring techniques that will be vital for later concepts within algebra.
Factoring: ab+ac = a(b+c)
In this unit, we will learn how to use the distributive property to rewrite polynomials into algebraic expressions that are products. In other words, we will use the distributive property in reverse using a process called factoring.
Guiding Questions for Unit 4:
How can a polynomial be represented as an equivalent expression by factoring?
What is the most efficient and effective strategy for factoring a polynomial?
Lessons in Unit 4:
Lesson 1: Factoring Using GCFs
Lesson 2: Factoring by Grouping
Lesson 3: Factoring Trinomials
Lesson 4: More Factoring Trinomials