Factoring Special Form Polynomials

U2L1 day 1

Factoring Polynomials

Extra help

• Watch this short video if you need help finding the GCF. 

Multiple Choice

Factor the following:

$$3x^2y^2z^7+6xyz^6$$  

• $$3x^2y^2z\left(z+2\right)$$  

• $$3xyz^6\left(xyz+2\right)$$  

• $$3xyz\left(xyz^6+2z^7\right)$$  

• $$3x^2y^2z^6\left(xyz+2\right)$$  

2. Grouping

• Must have 4 terms (reminder: terms are separated by addition or subtraction)

• Create 2 groups (2 terms in each)

• Look for the GCF of each group

• What is left in the ( ) when the GCF is factored out should match!!

Extra help

Watch this short video if you need more explanation for factoring by grouping. 

Multiple Choice

Factor the Polynomial:       $$15mn-40m-24n+64$$  

• $$\left(5m+8\right)\left(5n-8\right)$$  

• $$\left(3m-8\right)\left(3n+8\right)$$  

• $$\left(5m-8\right)\left(3n-8\right)\$$  

3. Difference of Squares

• Is it a binomial (2 terms)?

• Are both terms perfect squares?

• Is there subtraction between the 2 terms? (**Difference** = subtraction)

Extra help

• Watch this video if you need further explanation on the factoring using  difference of squares. 

Multiple Choice

Factor the following:    $$x^2-1$$  

• $$\left(x-1\right)\left(x-1\right)$$  

• $$\left(x-\frac{1}{2}\right)\left(x+\frac{1}{2}\right)\$$  

• $$\left(x+1\right)\left(x-1\right)$$  

Open Ended

How do you feel about factoring using the GCF, grouping, and difference of squares? Do you feel confident in your ability to factor using these methods?

Homework

U2L1 day 1 HW is on classroom in the form of a google slide. The worksheet is in your unit 2 packet, and the problems assigned each have a textbox on the google form. We will go over the homework in class.