Factoring Review

Presentation

•

Mathematics

•

9th - 12th Grade

•

Easy

•

CCSS

6.NS.B.3, HSA.APR.C.4

Standards-aligned

Antonia Van Vliet

Used 3+ times

FREE Resource

10 Slides • 11 Questions

Steps to Factor Using the GCF

Find the GCF of the numbers (use Desmos if you need).
Find the GCF of the variables. If a variable is in EVERY term, use the one with the smallest exponent.
Write the GCF in front of parentheses.
Divide each term in the problem by the GCF (dividing the coefficients and subtracting the exponents), and write the remainder inside the parentheses.

I can find the greatest common factor of the terms of a polynomial.
I can use the structure of a polynomial to rewrite it in factored form.

"I Can" Objective:

Multiple Choice

Factor out the GCF

3x³ + 9x

3x (x²+ 3)

3x ( x³ + 9)

x (3x² + 9)

3x (x³ + 3x)

Fill in the Blanks

$14c^2+2c$ Type your answer with parentheses and NO SPACES.

Type answer...

Multiple Choice

Factor by using GCF:
8n³ + 2n²

2n²(4n-1)

2n²(4n + 1)

n²(8n+2)

3n(4n+1)

You try this one!

Math Response

Factor $x^2-5x+6$

Type answer here

Deg^°

Rad

Multiple Choice

Factor completely:

x² + 2x - 63

(x - 9)(x+7)

(x+9)(x+7)

(x-9)(x-7)

(x+9)(x-7)

Multiple Choice

Factor completely...

x² - 4x - 60

(x - 10) (x + 6)

(x +10) (x - 6)

(x - 12) (x+5)

not factorable

Multiple Choice

Factor completely...

x² + 9x + 20

(x - 2) (x - 10)

(x + 5) (x + 4)

(x - 5) (x+4)

(x-5)(x-4)

Multiple Choice

Factor x² – 16.

(x + 2)(x – 8)

(x – 4)(x – 4)

(x + 4)(x + 4)

(x + 4)(x – 4)

Multiple Select

Which is an example of difference of two squares?

( x³- 4)

( x² - 3)

( x² + 4)

( x² - 4)

Multiple Choice

Factor completely.

x² - 144

( x - 12 ) ²

( x - 12 ) ( x - 12 )

( x + 12 ) ( x + 12 )

( x + 12 ) ( x - 12 )

Math Response

x²- 25

Type answer here

Deg^°

Rad

Steps to Factor Using the GCF

Find the GCF of the numbers (use Desmos if you need).
Find the GCF of the variables. If a variable is in EVERY term, use the one with the smallest exponent.
Write the GCF in front of parentheses.
Divide each term in the problem by the GCF (dividing the coefficients and subtracting the exponents), and write the remainder inside the parentheses.

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