FACTORING POLYNOMIALS

Factoring trinomials

100

Factor into two binomials- 

x²+8x+12

(x+6)(x+2)

200

Factor into two binomials- 

m²-11m+18

(m-9)(m-2)

300

Factor into two binomials- 

x²+5x-24

(x+8)(x-3)

400

Factor into two binomials- 

y²-6y-7

(y-7)(y+1)

500

Factor into two binomials- 

x²-13x-30

(x+2)(x-15)

Factoring trinomials- harder

100

Factor into two binomials- 

2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials- 

5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials- 

3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials- 

7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials- 

2x²-12x+10

(2x-2)(x-5)

FIND THE GCF

100

Find the GCF- 

3x²  and 12x

3x

200

Find the GCF- 

4x³ and 10x²

2x²

300

Find the GCF- 

2x⁵ and 9x⁴

x⁴

400

Find the GCF- 

18x³, 32x² , and 6x

2x

500

Find the GCF- 

12m⁴n³, 6m³n², and 24m²n⁴

6m²n²

FACTOR BY GCF

100

Factor by GCF- 

14n²+10n

2n(7n+5)

200

Factor by GCF- 

18x³-6x

6x(3x²-1)

300

Factor by GCF- 

8-4a²

4(2-a²)

400

Factor by GCF- 

4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF- 

10a³b⁴-6a²b⁶

2a²b⁴(5a-3b²)

PERFECT SQUARE/ DIFF OF SQUARES

100

x²-36

(x+6)(x-6)

200

x²+16

Cannot be factored

300

x²+12x+36

(x+6)²

400

4x²-16x+16

(2x-4)²

500

16y⁴-8y²+1

(4y²-1)²