FACTORING POLYNOMIALS

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: 8x³y-4x²y⁵

4x²y(2x-y⁴)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴c-6a²b⁶

2a²b⁴(5ac-3b²)

Factoring trinomials

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: 3y²-18y-21

3(y-7)(y+1)

500

Factor into two binomials: a⁴-a²-56

(a²-8)(a²+7)

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: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 6g²-2g-20

2(g-2)(3g+5)

Factor by Grouping

100

Factor 3n³ − 4n² + 9n − 12 

(n²+3) (3n−4)

200

Factor m³ − m² + 2m − 2 

(m² + 2)(m − 1)

300

Factor 35xy − 5x − 56y + 8 

(5x − 8)(7y − 1)

400

Factor 40xy + 30x − 100y − 75 

5(2x − 5)(4y + 3)

500

Factor 75a²c − 45a²d − 30bc + 18bd 

3(5a² − 2b)(5c − 3d)

Squares and Cubes

100

Factor 4n² − 49 

(2n + 7)(2n − 7) 

200

Factor 2x² − 18  

2(x + 3)(x − 3)

300

Factor 2x⁴r − 72y⁴r 

2r (x²+6y²) (x²-6y²)

400

Factor x³ + 125 

(x + 5) (x² − 5x + 25)

500

Factor 343m³ - 64n³ 

(7m -4n)  (49m² + 28mn + 16n²)