FACTORING TRINOMIALS

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 + 13x - 30

(x - 2)(x + 15)

Bottom's Up

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:

4x² - 16x + 15

(2x - 3)(2x - 5)

Special Cases

100

Factor: 

x² - 9

(x + 3)(x - 3)

200

Factor:

y² - 16

(y + 4)(y - 4)

300

Factor: 

9 - x²

(3+x)(3-x)

400

Factor:

3x² - 75

3(x - 5)(x + 5)

500

Factor:

25y² - 4

(5y + 2)(5y - 2)

GCF

100

Factor by GCF:

14n²+10n

2n(7n+5)

200

Factor by GCF:

8 - 4a²

6x(3x²-1)

300

Factor by GCF:

10a³b⁴ - 6a²b⁶ + 4a⁶b⁷

2a²b⁴(5a - 3b² + 2a⁴b³ )

400

Factor: 

4x² + 4x - 48

4(x + 4)(x - 3)

500

Factor: 

4x⁴+ 8x³ - 60x²

4x²(x + 5)(x - 3)

Potpourri

100

Factor into two binomials:

7x²-36x+5

(7x-1)(x-5)

200

Factor: 

4xy + 8x²y − 24x⁴y⁵

4xy(1 + 2x - 6x³y⁴)

300

Factor: 

4n²+22n+28

2(2n+7)(n+2)

400

Factor:

2x² – 13x + 15

(2x - 3)(x - 5)

500

Factor:

4y² + 24y − 108

4(y + 9)(y - 3)