Factoring Polynomials

Factoring Polynomials

by JadeAnthony Dosdos

​Lesson Objective:

​At the end of the lesson, student should be able to:

​-Define polynomials

​-Factor polynomials

​Warm-Up:

​Find the GCF of the following numbers:

​1. 18 and 24

​2. 20 and 25

​3. 30 and 50

Core Concepts:

​Example:

Direction: Factor each polynomial completely.

1. x³​ - 4x² - 5x

2. ​3y⁵ - 48y³

3. ​5z⁴ + 30z + 45z²

​1. x³ - 4x² - 5x

​x (x² - 4x - 5)

​2. 3y⁵ - 48y³

​divide each term by 3.

​

​3y³ (y² - 16)

​3. 5z⁴ + 30z³ + 45z²

​divide each term by 5.

​

​5z² (z² + 6z + 9)

Multiple Choice

Factor the  $$x^{3\ }-7x^{2\ }+10x$$  completely.

• $$x\left(x^2-7x+10\right)$$  

• $$2x\left(x^{2\ }-7x-5\right)\$$  

• $$-2x\left(x+7x-10\right)$$  

Multiple Choice

Factor the $$3n^7-75n^{5\ }$$  completely.

• $$3n^3\left(n^4-25\right)$$  

• $$3n^5\left(n^2-25\right)$$  

• $$3n\left(n^5-25\right)$$