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

2(x-1)(x-5)

Factor by Grouping

100

Factor by Grouping:

xy+2x+5y+10

(x+5)(y+2)

200

Factor by Grouping:

15ab+20a+6b+8

(5a+2)(3b+4)

300

Factor by Grouping:

y³-2y²-3y+6

(y²-3)(y-2)

400

Factor by grouping:

5x²+ 5xy -3x-3y

(5x-3)(x+y)

500

Factor by Grouping:

3y³+12y²+9y+36

3(y²+3)(y+4)

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)

Miscellaneous/Special Factoring

100

Use substitution to factor the polynomial:

x⁶ - 7x³ + 12

(x³-3)(x³-4)

200

Factor:25x² - 30x + 9

(5x-3)²

300

Factor:

x² + 8x + 16

(x+4)²

400

Factor Completely:

n⁴-1

(n+1)(n-1)(n²+1)

500

Use substitution to factor the polynomial:

3(x+1)² - 7(x+1) - 20

(3x+8)(x-3)