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)

Multiplying

100

Multiply:  (d-3)(d-3)

d²-6d+9

200

Multiply:  (5x-3)(2x+1)

10x²-x-3

300

Multiply:  (5x+2)(5x-2)

25x²-4

400

Multiply -3(x+1)(x-5)

-3x²+12x+15

500

Multiply (3m+4)(3m+4)

9m²+24m+16

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)

Miscellaneous Factoring

100

Factor: x² -16

(x-4)(x+4)

200

Factor 4x²-25

(2x-5)(2x+5)

300

Factor: 3x²-27

3(x+3)(x-3)

400

Factor:  5x²+ 20x+20

5(x+2)(x+2)

500

Factor: 8x³-8x

8x(x+1)(x-1)