Factor by Grouping, GCF and Trinomials

What should go in the 3rd step?

• 4x(x +2) -1(x+2)

• 4x(x - 2) -1(x-2)

• 4x(x - 2) +1(x-2)

• x(4x - 2) -1(4x-2)

What should go in the final step?

• (4x + 1) ( x + 2)

• 
• (4x - 1) ( x - 2)

• (4x + 1) ( x -2)

What are the factors of 7x² + 16x + 4?

• First find the 2 numbers that multiply to 28 and add to 16.

  a⋅c = 7⋅4 = 28

  b = 16

• The numbers are 14 and 2, so use these to break apart 16x.

  7x² + 14x + 2x + 4

• Make 2 groups and factor out the GCF from each group.

  7x(x + 2) + 2(x + 2)

• Write the 2 binomial factors.

  (7x + 2) (x + 2)

To factor 2x² +11x + 5, write the middle term using the 2 numbers that multiply to ___ and add to ___, make sure to include the "x". Write it like this:

*Choose 2 that apply.

• 10; 11; 2x² + 5x +2x + 5

• 22; 5; 2x² + 9x +2x + 5

• 10; 11; 2x² + 10x +x + 5

• 10; 11; 2x² + x +10x + 5

What formula do we use to identify the "a", "b", and "c" when factoring?

• ax² +bx + c

• ax² +cx + b

• bx² +ax + c

• cx² +bx + a

Determine Factoring Type x² + 2x – 3

• by GCF

• trinomials when a=1

• grouping

• trinomial when a is NOT 1

Determine Factoring Type:

5x³ - 7x²

• by GCF

• trinomial when a is NOT 1

• by grouping

• difference of squares

Determine factoring type:  6x² + 9x

• by GCF

• by grouping

• trinomials when a is NOT 1

• difference of squares

Determine factoring type 3v² - 4v - 7

• by GCF

• trinomial when a is NOT 1

• by grouping

• trinomial when a=1

Determine Factoring Type x² + 9x - 36

• By GCF

• trinomial when a=1

• by grouping

• trinomial when a is not 1