Factoring Polynomials

Factoring By GCF

100

2x² + 10x - 16

2(x² + 5x - 8)

200

-12x² + 8x - 20

4(-3x² + 2x - 5)

300

x³ + x² + x

x(x² + x + 1)

400

2x⁴ - 16x³ + 2x

2x(x³ - 8x² + 1)

500

8x²y −12x³y²

4x²y(2 - 3xy)

Factoring Basic Trinomials

100

x² + 13x + 12

(x+12)(x+1)

200

x² − 13x + 36

(x-9)(x-4)

300

x² + 4x − 45

(x+9)(x-5)

400

x² − 16x + 48

(x-12)(x-4)

500

DAILY DOUBLE!!!

x² − 20x − 125

Factoring Trinomials with Leading Coefficients

100

6x² + 17x + 5

(2x + 5)(3x + 1)

200

2x² + 2x - 4

(2x+4)(x-1)

300

6x² + 11x + 3

(2x + 3)(3x + 1)

400

6x² + 7x - 3

(2x + 3)(3x - 1)

500

3x² - 2x - 8

(3x + 4)(x - 2)

Factoring Special Trinomials

100

x² + 10x + 25

(x+5)²

200

9x² + 6x + 1

(3x+1)²

300

x² - 16

(x-4)(x+4)

400

1 - 4x²

(1 + 2x)(1 - 2x)

500

4x² + 20x + 25

(2x+5)²

Factoring Grab Bag

100

x²+5x-36

(x+9)(x-4)

200

DAILY DOUBLE!!!

5x²+8x-21

300

2p⁵ + 10p⁴ - 12p³

2p³(p - 1)(p + 6)

400

9x⁶ + 30x⁵ + 24x⁴

3x⁴(x + 2)(3x + 4)

500

3x³y + x²y²

x²y(3x + y)