Factoring Polynomials

Factoring two squares

100

solve: x² - 36

(x - 6)(x + 6)

200

81 - x²

(9 - x)(9 + x)

300

64x² - 49

(8x - 7)(8x + 7)

400

27x² - 12y⁸

(3x - 2y⁴)(3x + 2y⁴)

500

16x⁸ - 100y⁴

(4x⁴ - 10y²)(4x⁴ + 10y²)

Factoring by grouping

100

(2x² - 14x) + ( 4x - 28)

x(x - 7)(2x + 4)

200

15x² + 12x - 10x - 8

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

300

20x² + 15x - 8x - 6

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

400

(25x² + 5x + (30x + 6)

(5x + 1)(5x + 6)

500

35x³ - 28x² - 20x +16

x(5x - 4)(7x + 4)

Factoring using GCF

100

6x³ + 2x

2x(3x² + 1)

200

18y - 27y³

9y(2 - 3y²)

300

15y³ + 25y²

5y²(3y + 5) 

400

-32x⁴ + 24x

8x(-4x³ + 4)

500

9x³ - 3x² + 27x

3x(3x² - x + 9)

Factoring trinomials hint: a = 1

100

x² + 2x - 8

(x + 4)(x + -2)

200

6x² - 8x - 8

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

300

30x² - 8x - 6 

(5x - 3)(6x + 2)

400

2x² - 13x + 15

(2x - 3)(x - 5)

500

x² - 10x - 24

(x + 2)(x - 12)

factoring trinomials hint: a > 1

100

7x² + 11x - 6

(7x + 3)(x - 2)

200

x² + x - 6

(x + 3)(x - 2)

300

x² - 9x + 20

(x - 4)(x - 5)

400

x² + 7x + 6

(x + 1)(x + 6)

500

x² - 2x - 80

(x - 10)(x + 8)