Algebra - Chapter 8

Factoring by GCF

100

x² + 5x

x(x + 5)

200

15y³ + 20y² + 5y

5y(3y² + 4y + 1)

300

8x⁴ - 12x²

4x²(2x² - 3)

400

27j⁴ - 72j³ + 9j

9j(3j³ - 8j² + 1)

500

16x⁶y + 16x²y⁴ - 32x³y²

16x²y(x⁴ + y³ - 2xy)

Factor by Grouping

100

5x(x + 7) + 2(x + 7)

(x + 7)(5x + 2)

200

4m³ - 12m² + 15 - 5m

(m - 3)(4m² - 5)

300

2x³ + 5x² + 2x + 5

(2x + 5)  (x² + 1)

400

3x³ - 12x² + 20 - 5x

(x - 4)(3x² - 5)

500

-28n² - 14 + 10n⁵ + 5n³

(2n² +1)(5n³ - 14)

Factoring

100

x² + 5x + 6

(x + 3)(x + 2)

200

x² - 8x - 20

(x + 2)(x - 10)

300

x^2 + 6x + 8

(x + 2)(x + 4)

400

x^2 - 8x + 12

(x - 6)(x - 2)

500

x^2 + 5x - 84

(x + 12)(x - 7)

MoreFactoring

100

2x^2 + 11x + 5

(2x + 1)(x + 5)

200

2x^2 - 11x + 5

(2x - 1)(x - 5)

300

7x^2 - 19x - 6

(7x + 2)(x - 3)

400

6x^2 + 17x - 14

(3x - 2)(2x + 7)

500

-10x^2 + 11x + 6

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

Factor Completely

100

2x² + 8x + 6

2(x + 3)(x + 1)

200

f³ - 3f² + 4f - 12

(f² + 4)(f - 3)

300

3w³ + 30w² + 75w

3w(w + 5)(w + 5)

400

-6k² + 39k - 18

-3(k - 6)(2k - 1)

500

2a² - 32

2(a + 4)(a - 4)