Algebra - Factorization

Algebra - Factorization

By Uel Roberts - Johnson

​Ice breaker :)

Poll

f you could choose any age, to stay in for the rest of your life, which would it be?

• 7

• 16

• 23

• 35

• 46

​Let's get started . . .

Learning Objectives

By the end of this lesson, students should be able to:

• Identify factors of algebraic terms​

• Accurately factorize assigned algebraic expressions​ including the difference of two squares

​Factorization

​Let's see how it works . . .

Example 1

Multiple Choice

Factorize completely: $$ab\ +\ 5ac$$  

• $$a\left(b\ \ -\ \ 5c\right)$$  

• $$abc\left(5\right)$$  

• $$a\left(b\ \ +\ \ 5c\right)$$  

Example 2

Multiple Choice

Factorize completely: $$5m^3n+15m^2n^2$$  

• $$5mn\left(m^2\ \ +\ 3mn\right)$$  

• $$5m^2n\left(m\ +3n\right)$$  

• $$m^2n^2\left(5m+15\right)$$  

Example 3

Example 4

Multiple Choice

Factorize completely: $$ay+by+a+b$$  

• $$\left(a+b\right)\left(y+1\right)$$  

• $$y\left(a+b\right)+1\left(a+b\right)$$  

• $$a\left(y+b\right)+b\left(a\right)$$  

Example 5

Multiple Choice

Factorize completely: $$25-p^2$$  

• $$\left(5\ +\ p\right)\left(5\ -\ p\right)$$  

• $$\left(5+p\right)\left(5+p\right)$$  

• $$\left(5\cdot-p\right)\left(5-p\right)$$  

Give it a try!

Poll

Today, class was . . .

• enjoyable

• ok

• horrible

• so so

Further Practice . . .

Basic Engineering Math

Page 87 Ex. ​44

#​1, 2, 5, 11, 15, 17 - 24

Subject | Subject

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