Factoring Polynomials

Factoring By Grouping

100

3n³ - 12n² + 2n - 8

(n - 4)(3n² + 2)

200

5x³ + 2x² + 10x + 4

(x² + 2)(5x + 2)

300

8n³ - 8n² + 14n - 14

2 (4n² + 7)(n - 1)

400

16p³ + 2p² - 24p - 3

(2p² - 3)(8p +1)

500

24n⁴ + 21n³ + 16n² + 14n

n (3n² + 2)(8n + 7)

Factoring Trinomials

100

x² - 21x + 20

(x - 20)(x - 1)

200

3n² + 21n + 36

3(n + 3)( n + 4)

300

5x² +11x +2

(5x +1)(x +2)

400

3c² + 14c + 8

(c + 4)(3c + 2)

500

12x² +20x + 8

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

Factoring Trinomials

100

w² - w - 30

(w-6)(w+5)

200

m² + 25m + 100

(m + 20)(m + 5)

300

6x² + 13x +5

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

400

5k² + 4k - 1

(5k - 1)(k + 1)

500

4a² - 15a + 9

(a - 3)(4a - 3)

Perfect Square Trinomials

100

x² + 8x +16

(x+4)²

200

x² - 16x + 64

(x-8)²

300

4x² - 4x + 1

(2x-1)²

400

100x² + 180x + 81

(10x +9)²

500

10n² + 100n + 250

10(n + 5)²

Difference of 2 Squares

100

x² - 9

(x + 3)(x - 3)

200

n² - 25

(n - 5)(n + 5)

300

n⁴ - 100

(n² - 10)(n² + 10)

400

36x² - 400

4(3x - 10)(3x + 10)

500

49x³ - 100x

x (7x - 10)(7x + 10)