FACTORING POLYNOMIALS

Factoring trinomials when a = 1

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-x-56

(x-8)(x+7)

Factoring Trinomials- with a leading coefficient

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)

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(5a³-3b²)

Factoring (Special cases)

100

Factor:

x² - 36

(x+6)(x-6)

200

Factor:

9x² - 25

(3x + 5)(3x - 5)

300

Factor:

49x² + 100

PRIME

400

Factor:

4x²+12x+9

(2x +3)²

500

Factor:

25x² - 90xy + 81y²

(5x - 9y)²

Solve by factoring

100

Solve:

4x² -16x = 0

x = 0 or x = 4

200

Solve:

x² - 15x + 56 = 0

x = 7 or x = 8

300

Solve:

9x² - 25=0

x = 5/3 or x = -5/3

400

Solve:

x² -7x = 18

x = 9 or x = -2

500

Solve:

5x² - 22x = -8

x = 2/5 (0.4) or x = 4