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 Difference +Perfect Squares

100

Factor x²-16

(x-4)(x+4)

200

Factor x²-100

(x-10)(x+10)

300

Factor x²+10x+25

(x+5)(x+5)

400

Factor 2x²-18

2(x-3)(x+3)

500

Factor x⁴-36

(x²-6)(x²+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)

Miscellaneous Factoring

100

Solve for x: 3x-7=11

x=6

200

Factor x²+10x=-25

(x+5)(x+5)

300

Factor x²-4x=12

(x-6)(x+2)

400

2x+8=5x-7

x=5

500

Determine x when f(x)=8

f(x)=x²-7x

x=8,-1