FACTORING POLYNOMIALS

Factoring trinomials

100

Factor: x²+8x+12

(x+6)(x+2)

200

Factor: m²-11m+18

(m-9)(m-2)

300

Factor: 2x⁴-10x²-28

2(x²-7)(x²+2)

400

Factor: 5y⁴-10y²-315

5(y-3)(y+3)(y²+7)

500

Factor: 8x⁴-2x²-1

(2x²-1)(4x²+1)

Sum/Dif of Cubes

100

Factor: 8x³+1

(2x+1)(4x²-2x+1)

200

Factor: m³+216n³

(m+6n)(m²-6mn+36n²)

300

Factor: 4-32h³

4(1-2h)(1+2h+4h²)

400

Factor: 2x³-54y³

2(x-3y)(x²+3xy+9y²)

500

Factor: 10x⁸y²+80x²y⁵

10x²y²(x²-2y)(x⁴-2x²y+4y²)

Factor by Grouping

100

Factor: x³-2x²+x-2

(x²+1)(x-2)

200

Factor: 2x⁵-18x⁴+7x-63

(2x⁴+7)(x-9)

300

Factor: k³+5k²-k-5

(k-1)(k+1)(K+5)

400

Factor: 2x³-3x²-32x+48

(x+4)(x-4)(2x-3)

500

Factor: 3x³+6x²+15x+30

3(x²+5)(x+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)

Dif. of Squares

100

Factor x²-4

(x+2)(x-2)

200

Factor: x⁴-225

(x²+15)(x²-15)

300

Factor: 3m⁴-48n²

3(m²-4n)(m²+4n)

400

Factor: 5a⁴-245

5(a²+7)(a²-7)

500

Factor: 5x⁵-80x

5x(x²+4)(x-2)(x+2)