Factoring Review

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.

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"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.

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

Correct Answer: \left(x-3\right)\left(x-2\right)

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

Correct Answer: \left(x+5\right)\left(x-5\right)

Deg^°

Rad