FACTORING POLYNOMIALS

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: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+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: 2x²-12x+10

(2x-2)(x-5)

Factor by Grouping

100

x²+3x+2x+6

(x+2)(x+3)

200

2x³-x²-10x+5

(x²-5)(2x-1)

300

20n³+12n²+25n+15

(4n²+5)(5n+3)

400

20r³-4r²+15r-3

(4r²+3)(5r-1)

500

63n³+54n²-105n-90

3(3n²-5)(7n+6)

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)

Sums/Differences of Cubes/Squares

100

25x²-49

(5x+7)(5x-7)

200

216x³+125y³

(6x+5y)(36x²-30xy+25y²)

300

32x³-4

4(2x-1)(4x²+2x+1)

400

25x⁴-4y²

(5x²+2y)(5x²-2y)

500

54x³-250y³

2(3x-5y)(9x²+15xy+25y²)