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+16x+24

2(x+6)(x+2)

200

Factor into two binomials: 2x²-10x+12

2(x-2)(x-3)

300

Factor into two binomials: 7x²-7x-14

7(x+1)(x-2)

400

Factor into two binomials: 5x²-20x+15

5(x-1)(x-3)

500

Factor into two binomials: 3x²⁺9x-30

3(x+5)(x-2)

Factor by Grouping

100

Find the GCF: 3x², 12x

3x

200

Find the GCF: 4x³, 10x²

2x²

300

Find the GCF: 2x⁵, 9x⁴

x⁴

400

Find the GCF: 18x³, 32x²+6x

2x

500

Find the GCF: 12m⁴n³, 6m³n², 24m²n⁴

6m²n²

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

Solve for x: 2x+8=5x-7

x=5

300

Solve for x: 13x+9=7x-3

x = -2

400

Solve for x: 56x+19=-2+14x

x = -1/2

500

Solve for x: 136x+73=57+30x

x = -8/53