Factoring GCF, Grouping, and Trinomials Review

Which polynomials would be factored by GCF?

Check all that apply.

• 8x² + 10x

• 8x² + 10x - 21

• 3x² + 31x + 36

• x² - 11x - 12

Answer explanation

Throughout our lessons you should have been taking note of when to do which type of factoring.

**GCF: any terms as long as they have a common factor other than 1.
**Grouping: only when you have 4 terms.
** Product/Sum or Slide & Divide (both similar methods): only for trinomials.

Which polynomials would be factored by Grouping?

Check all that apply.

• 8x² + 10x

• 8x² + 10x - 21

• x² - 11x - 12

• 5x³ - 30x² - 6x + 36

Answer explanation

Throughout our lessons you should have been taking note of when to do which type of factoring.

**GCF: any terms as long as they have a common factor other than 1.
**Grouping: only when you have 4 terms.
** Product/Sum or Slide & Divide (both similar methods): only for trinomials.

Which polynomials would be factored by Product/Sum Method or the Slide & Divide Method?

Check all that apply.

• 8x² + 10x

• 8x² + 10x - 21

• 3x² + 31x + 36

• x² - 11x - 12

• 5x³ - 30x² - 6x + 36

Answer explanation

Throughout our lessons you should have been taking note of when to do which type of factoring.

**GCF: any terms as long as they have a common factor other than 1.
**Grouping: only when you have 4 terms.
** Product/Sum or Slide & Divide (both similar methods): only for trinomials.

Factored Form means breaking an expression down into what ______ what makes it.

• plus

• minus

• times

• divided by

Answer explanation

Review the 2/23 lesson on GCF if needed.

https://share.nearpod.com/j7qZPCXeheb

What does Prime mean?

• Only divisible by 1 and itself

• Divisible by 2

• Made up of the same number repeated

• Has a good square root

Answer explanation

Review the 2/23 lesson on GCF if needed.

https://share.nearpod.com/j7qZPCXeheb

Is 8 a factor of 36?

• Yes

• No

Answer explanation

36/8 is a decimal, meaning 8 cannot be a factor of 36.

Review the 2/23 lesson on GCF if needed.

https://share.nearpod.com/j7qZPCXeheb

What is the GCF of 6g⁵, 14g⁴, 18g³

• 6g⁵

• 4g¹¹

• 3g³

• 2g³

Answer explanation

Review the 2/23 lesson on GCF if needed.

https://share.nearpod.com/j7qZPCXeheb

What is the Factored Form of 12m² - 15 ?

• 3m(4m - 5)

• 3(4m² - 5)

• 3m²(4m - 15)

• 3(4m² + 15)

Answer explanation

Remember to use distributing to check your answer!

Review the 2/23 lesson on GCF if needed.

https://share.nearpod.com/j7qZPCXeheb

What is the Factored Form of

30x⁵y⁶ + 20x⁴y³ - 50y⁷ ?

• 10y³(3x⁵y³ + 2x⁴ - 5y⁴)

• 10x⁴y³(3xy³ + 2 - 5y⁴)

• 10y⁷(3x⁵ + 2x⁴ - 5)

Answer explanation

Remember to use distributing to check your answer!

Review the 2/23 lesson on GCF if needed.

https://share.nearpod.com/j7qZPCXeheb

Grouping: How would you split the polynomial? 

(As taught in class)

 $x^5-3x^3-\ 6x^2+18$  

•  $\left(x^5-3x^3\right)-\left(\ 6x^2+18\right)$  

•  $\left(x^5-3x^3\right)+\left(\ -6x^2+18\right)$  

Answer explanation

Review the 2/25 lesson on grouping if needed.
https://share.nearpod.com/vsph/fHdLxFR0Mu