FACTORING POLYNOMIALS

Factoring trinomials

100

Factor into two binomials: x²+7x+12

(x+4)(x+3)

200

Factor into two binomials: m²-9m+18

(m-6)(m-3)

300

Factor into two binomials: x²+2x-24

(x+6)(x-4)

400

Factor into two binomials: 

y²-4y-21

(y-7)(y+3)

500

Factor into two binomials: 

x²-x-42

(x-7)(x+6)

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  + 11x + 6

(3x + 2)(x + 3)

400

Factor into two binomials: 

7x ²- 10x + 3

(7x - 3)(x - 1)

500

Factor into two binomials: 

5x² - 6x - 8

(5x + 4)(x - 2)

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 4x²-20x+25

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

300

Factor: x²-144

(x+12)(x-12)

400

Factor:  5x²+ 27x+10

(5x+2)(x+5)

500

Factor: 6x⁵-3x³+2x²-1

(3x³+1)(2x²-1)