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

Factor: 14x³-7x²+2xy-y

(7x²+y)(2x-1)

200

Factor: 4a³-a²b+36a-9b

(a²+9)(4a-b)

300

Factor: 4x³+20x²-9x-45

'(4x²-9)(x+5)

400

Factor: 3x³-x²+3x-1

(x²+1)(3x-1)

500

Factor: 2r³+3r²⁺18r+27

(r²⁺9)(2r+3)

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)

Difference of Squares

100

Factor: x²-64

(x-8)(x+8)

200

Factor: 1-25x²

(1-5x)(1+5x)

300

Factor: 16x²-49y²

(4x-7y)(4y+7y)

400

Factor: 75x²-48

3(5x-4)(5x+4)

500

Factor: 6x³-24xy²

6x(x-2y)(x+2y)