FACTORING TRINOMIALS

Find the GCF

100

Find the GCF: 3x² + 12x

3x

200

Find the GCF: 4x³ + 10x²

2x²

300

Find the GCF: 2x⁵ + 9x⁴

x⁴

400

Find the GCF: -18x³ + 33x² + 6x

-3x

500

Find the GCF: 12m⁴n³ + 6m³n² + 24m²n⁴

6m²n²

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 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)

Factoring trinomials a >1

100

Factor : 2c²-14c-36

2 (c - 9)(t + 2)

200

Factor: -4x² - 32x - 64

-4 (x + 4) (x + 4)

300

Factor: 6x² - 11x + 4

(3x - 4)(2x - 1)

400

Factor: 5t² + 12t - 9

(t + 3)(5t - 3)

500

Factor: 10x² + 24x +8

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

Factoring by Grouping

100

Factor: x³ + x² + 2x + 2

(x² + 2)(x + 1)

200

Factor: 6w³ + 4w² + 3w + 2

(2w² + 1) (3w + 2)

300

Factor: 7k³ - 35k² + 6k - 30

(7k² + 6) (k - 5)

400

Factor: 5x²y - x² + 5y - 1

(x² + 1) (5y - 1)

500

Factor: 4m² + 16mn - 7m - 28n

(4m - 7) (m + 4n)