1. Multiplying and Factoring Polynomial Expressions
Eureka Math Algebra 1 Module 4
Lesson 1

2. Objectives
Students use the distributive property to multiply a monomial by a polynomial and understand that factoring reverses the multiplication process.
Students use polynomial expressions as side lengths of polygons and find area by multiplying.
Students recognize patterns and formulate shortcuts for writing the expanded form of binomials whose expanded form is a perfect square or the difference of perfect squares.
Standards:
A-APR.A.1 a
MP.4

3. You could add the two areas in the previous question to get our answer.
If you find the area by multiplying the total length times total width, that is using the distributive property.

4. Main answer that we’re looking for here is 3a(a+1)
Main answer that we’re looking for here is 3a(a+1). That is factoring using the greatest common factor. GCF for short.

5. 5a(2b+1)

9. Factoring the difference of two perfect squares reverses the process of finding the product of the sum and difference of two terms.