Factoring Trinomials Slide and Divide

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

• 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.

Answer explanation

Remember what the word "factor" means!

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

When factoring trinomials (ax²+bx+c) we learned a = 1 do Product/Sum Method. What was the product and sum? Choose the correct answer(s).

• Product was c

• Sum was c

• Product was b

• Sum was b

• Product and Sum were a

Answer explanation

Review the 2/27 EdPuzzle or 3/1 Nearpod if needed.

https://share.nearpod.com/F4bcl1dHVab

When factoring v² - 6v + 8 what is our possible set of factors?

• 1(8) or 2(4)

• -1(-8) or -2(-4)

• 1(6) or 2(3)

• -1(-3) or -2(-3)

Answer explanation

Review the 2/27 EdPuzzle or 3/1 Nearpod if needed.

https://share.nearpod.com/F4bcl1dHVab

What is the Factored Form of v² - 6v + 8 ?

• (v+1)(v+8)

• (v-2)(v-4)

• (v-1)(v-8)

• (v+2)(v+4)

Answer explanation

Review the 2/27 EdPuzzle or 3/1 Nearpod if needed.

https://share.nearpod.com/F4bcl1dHVab

Answer explanation

Review the 3/2 EdPuzzle or 3/2 Nearpod if needed.

https://share.nearpod.com/vsph/4kGSfcE0Lu

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

Which of the following will need to be factored with slide and divide?

Which of the following methods would be best to solve this equation by Factoring?
2x² - 17x + 36 = 0

• Difference of Squares

• Factor by Grouping

• Trinomial when a >1

• GCF

How should you factor the following expression?  
9x² - 12x + 4

• Perfect Squares:
  Use (x + a ) (x - a )

• Perfect Cubes:
  Use SOP SMS

• No Leading Coefficient: Go straight to (x ± a) (x ± b)

• Multiply 1st & Last;
  Replace middle term;
  Factor by Grouping