FACTORING POLYNOMIALS

Factoring trinomials

100

Factor into two binomials: m²-11m+18

(m-9)(m-2)

200

Factor into two binomials: x²-x-56

(x-8)(x+7)

300

Factor into two binomials: x²+8x+12

(x+6)(x+2)

400

Factor into two binomials: 3y²-18y-21

3(y-7)(y+1)

500

Factor into two binomials: 2x²+10x-48

2(x+8)(x-3)

Factoring Trinomials- harder

100

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

200

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

300

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 2x²-12x+10

(2x-2)(x-5)

Find the GCF

100

Find the GCF: 4x³, 10x²

2x²

200

Find the GCF: 2x⁵, 9x⁴

x⁴

300

Find the GCF: 3x², 12x

3x

400

Find the GCF: 18x³, 32x²+6x

2x

500

Find the GCF: 12m⁴n³, 6m³n², 24m²n⁴

6m²n²

Factor by GCF

100

Factor by GCF: 18x³-6x

6x(3x²-1)

200

Factor by GCF: 8-4a²

4(2-a²)

300

Factor by GCF: 14n²+10n

2n(7n+5)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Solving by Factoring

100

Solve: (x-3)(x+2)=0

x= -2, 3

200

Solve: (4x-1)(3x+2)=0

x= 1/4, -2/3

300

Solve: 2x²+16x+30=0

x= -3, -5

400

Solve: x² - 11x = -24

x = 3, 8

500

Solve: 7x² - 14x = -7

x = 1