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

Find the GCF: 3x² +12x

3x(x+4)

200

Find the GCF: 4x³+10x²

2x²(2x+5)

300

Find the GCF: 2x⁵ +9x⁴

x⁴(2x+9)

400

Find the GCF: 18x³y²+32x²y+6xyz

2xy(9x²y+16x+3z)

500

Find the GCF: 12m⁴n³+ 6m³n²+24m²n⁴

6m²n²(2m²n+m+12n²)

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)

Difference of Squares

100

Factor Completely: (x²-4)

(x-2)(x+2)

200

Factor completely: x²-121

(x+11)(x-11)

300

Factor completely: 9x²-64

(3x-8)(3x+8)

400

Factor completely: 12x⁴-48

3(2x²+4)(2x²-4)

500

Factor completely: 16m²n² - 36n⁴

4n²(2m-3n)(2m+3n)