FACTORING POLYNOMIALS

Factoring trinomials

100

x²+8x+12

(x+6)(x+2)

200

m²-11m+18

(m-9)(m-2)

300

x² + 5x – 24

(x+8)(x-3)

400

y² – 6y – 7

(y-7)(y+1)

500

2x² – 2x – 112

2(x-8)(x+7)

Factoring Trinomials- harder

100

2x²+7x+3

(2x+1)(x+3)

200

5n²+26n+5

(5n+1)(n+5)

300

3x²-10x+7

(3x-7)(x-1)

400

7x²-36x+5

(7x-1)(x-5)

500

10x² + 3x – 18

(5x – 6)(2x + 3)

Factor by Grouping

100

x² – x + 3x – 3

(x – 1)(x + 3)

200

2x² – 3x – 8x + 12

(2x – 3)(x – 4)

300

3x³ – 9x² + 2x – 6

(x – 3)(3x² + 2)

400

6n³ + 3n² + 8n + 4

(2n + 1)(3n² + 4)

500

5n³ – 10n² + 5n² – 10n

5n(n + 1)(n – 2)

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

x² – 100

(x + 10)(x – 10)

200

16x² – 25y²

(4x + 5y)(4x – 5y)

300

x³ – 125

(x – 5)(x² + 5x + 25)

400

27x³ + 8

(3x + 2)(9x² – 6x + 4)

500

8x³ - 18x

2x(2x + 3)(2x – 3)