FACTORING POLYNOMIALS

Factoring trinomials- 1 AM

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- AC method

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 +6x +2x + 4

(3x+2) (x+2)

200

2x³ + 7x²  +2x+7

( 2x + 7) (x² + 1)

300

factor 6n³ + 3n² + 8x + 4

(2n + 1) ( 3n² + 4)

400

Factor: 20x² + 30x - 4xy - 6

2( 2x+3) ( 5x-y)

500

factor 12a²c + 6abc - 6a²d - 3abd

3a(2a+b)(2c-d)

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 two squares

100

factor x² -9

(x +3) (x -3)

200

factor 9x² - 16

(3x + 4) ( 3x-4)

300

factor 25x⁴ - 36y²

(5x² - 6y) (5x² + 6y)

400

factor x²y⁴ - 4

(xy+4) (xy-4)

500

factor. 75x²-27

3(5x-3) (5x+3)