Factoring Polynomials

Factoring GCF

100

Factor: 8c² + 7c

c(8c + 7)

200

Factor:  3n³ + 12n²

3n²(n + 4)

300

Factor:  15x⁵ - 18x

3x(5x⁴ - 6)

400

Factor:  8s⁴ + 20t³ - 28

4(2s⁴ + 5t³ - 7)

500

Factor:  6n³ + 18n² - 24n

6n(n² + 3n - 4)

Factor a = 1

100

Factor:  x² + 12x - 28

(x + 14)(x - 2)

200

Factor:  x² - 8x - 20

(x - 10)(x + 2)

300

Factor:  x² + 11x + 30

(x + 5)(x + 6)

400

Factor:  x² - 2x - 48

(x - 8)(x + 6)

500

The area of a poster board is x² + 3x - 10 in². The width is x - 2 inches.  What is the length?

(x + 5) inches

Factor a > 1

100

Factor:  2x² + 13x + 15

(2x + 3)(x + 5)

200

Factor:  3x² + 10x + 8

(3x + 4)(x + 2)

300

Factor:  5x² + 21x + 4

(5x + 1)(x + 4)

400

Factor:  9x² + 6x - 48

3(3x + 8)(x - 2)

500

Factor:  -2x² + 5x + 42

-1(2x + 7)(x - 6)

Factor a > 1 #2

100

Factor:  2x² + 11x - 13

(2x + 13)(x - 1)

200

Factor:  4x² + 11x + 7

(4x + 7)(x + 1)

300

Factor:  8x² - 73x + 9

(8x - 1)(x - 9)

400

Factor:  -20x² + 29x - 6

-1(5x - 6)(4x - 1)

500

Factor:  3x² - 14x + 15

(3x - 5)(x - 3)