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: 

3y²-18y-21

3(y-7)(y+1)

500

Factor into two binomials: 

x²-x-56

(x-8)(x+7)

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)

Difference of two squares

100

x² - 81

(x+9)(x-9)

200

y² - 1

(y-1)(y+1)

300

2x³ - 8x

2x (x+2)(x-2)

400

100x² + 121y²

not factorable

500

x⁸ - 1

(x⁴ +1)(x² +1)(x +1)(x - 1)

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)

Pick a method

100

x² -16

Difference of two squares

200

x² + 3ax + 2y² + 6ay

Grouping

300

Factor: 3x²-27

GCF & difference of two squares

400

Factor:  5x²+ 20x+20

box

general factoring

500

x⁴ + 2

not factorable