Factoring by GCF
Factoring a=1
Factoring a>1
Factoring Special Cases
Solving by Factoring
100

What is the GCF of the numbers 12 and 18?

GCF is 6

100

Factor the trinomial below when a=1

x+ 7x + 10

(x + 5)(x + 2)

100

In the trinomial below what is the a, b, and c?

5x2 + 8x + 6

a= 5

b= 8

c= 6

100

Factor the Special Case below

x+ 10x + 25

(Hint: This is a Perfect Square Trinomial)

(x + 5)(x + 5) or (x + 5)2

100

Solve the quadratic equation below

x2 + 9x + 18 = 0

x=-6 and x=-3 

OR

{-6,-3}

200

12x + 8

4(3x + 1)

200

Factor the trinomial below when a=1

x+ 9x +20

(x + 5)(x + 4)

200

In the trinomial below what is the a, b, and c?

2x2 - 7x - 15

(2x +3)(x - 5)

200

Factor the Special Case below

x- 8x + 16

(Hint: This is a Perfect Square Trinomial)

(x - 4)(x - 4) or (x - 4)2

200

Solve the quadratic equation below

x2 - x - 20 = 0

x= 5 and x= -4

OR

{-4,5}

300

7x+ 3x2

x2(7x3 + 3)

300

Factor the trinomial below when a=1

x- 2x - 24 

(x - 6)(x + 4)

300

Factor the trinomial below when a>1

7x+ 11x +4

(7x + 4)(x + 1)

300

Factor the Special Case below

x+ 2x + 1

(Hint: This is a Perfect Square Trinomial)

(x + 1)(x + 1) or (x + 1)2

300

Solve the quadratic equation below

x2 - 6x - 27 = 0

x=9 and x=-3

OR

{9,-3}

400

10x2 + 15x3

5x2(2 + 3x)

400

Factor the trinomial below when a=1

x+ x -12

(x + 4)(x - 3)

400

Factor the trinomial below when a>1

5x -31x +6



(5x - 1)(x - 6)

400

Factor the Special Case below

x- 49

(Hint: This is a Difference of Two Squares)

(x + 7)(x - 7)

400

Solve the quadratic equation below

x2 + 2x - 21 = -2x

x=-7 and x= 3

OR

{-7,3}

500

-6x- 8x5

-2x(3 + 4x2)

500

Factor the trinomial below when a=1

x- 10x +16

(x - 8)(x - 2)

500

Factor the trinomial below when a>1

3x- 16x +5

(3x - 1)(x - 5)

500

Factor the Special Case below

9x- 81

(Hint: This is a Difference of Two Squares)

(3x + 9)(3x - 9)

500

Solve the quadratic equation below

x2 - 8x + 17 = 5

x=2 and x=6

OR

{2,6}


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