Factoring Polynomials

Find the GCF

100

4x² + 8x - 4

4

200

15x⁵ - 10x² + 20x 

5x

300

12x⁴ + 36x³y² - 48x²y³

12x²

400

54x⁵y⁶ - 36x³y² + 18x²y³ - 27xy⁴

9xy²

500

108x⁶y⁵z³ + 90x⁵y⁶z³ - 72x³y²z³

18x³y²z³

Factor a = 1

100

x² + 5x + 6

(x + 2)(x+3)

200

x² + 10x + 16

(x + 8)(x + 2)

300

x² - 12x - 45

(X + 3)(x -15)

400

x² + 8x - 65

(x + 13)(x - 5)

500

x² + 2x - 80

(x + 10)(x - 8)

Perfect Square Trinomial

100

x² + 2x + 1

(x + 1)²

200

x² + 14x + 49

(x + 7)²

300

x² - 16x + 64

(x - 8)²

400

x² - 26x + 169

(x - 13)²

500

16x² - 88x + 121

(4x² - 11)

Difference of Squares

100

x² - 81

(x + 9)(x - 9)

200

x² - 169

(x - 13)(x + 13)

300

4x² - 81

(2x - 9)(2x + 9)

400

x² - 25/36

(x - 5/6)(x + 5/6)

500

1x²/4 - 49/196

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

Factor a > 1

100

7x² - 20x - 3

(7x + 1)(x - 3)

200

3x² +5x - 12

(3x - 4)(x + 3)

300

11x² + 2x - 9

(11x - 9)(x + 1)

400

15x² - 2x - 8

(5x - 4)(3x + 2)

500

4y² - 5y - 4

Cannot be factored