Factor Polynomials

Difference of Squares

100

Factor. x² - 100

(x + 10)(x - 10)

200

Factor. 9x² - 1

(3x + 1)(3x - 1)

300

Factor. 9y² - 16

(3y + 4)(3y - 4)

400

Factor. 49p² - 81

(7p + 9)(7p - 9)

500

Factor. 4m² - 36

4(m + 3)(m - 3)

A = 1

100

Factor. f² + 5f + 6

(f + 2)(f + 3)

200

Factor. h² + 10h + 21

(h + 3)(h + 7)

300

Factor. b² + 3b - 10

(b + 5)(b - 2)

400

Factor. w² + w – 12

(w - 3)(w + 4)

500

Factor. a² + 14a + 48

(a + 6)(a + 8)

GCF

100

Factor out the greatest common factor. r² - 8r

r(r + 8)

200

Factor out the greatest common factor. 2m³ - 6m

2m(m² - 3)

300

Factor out the greatest common factor. 4t² + 8t

4t(t + 2)

400

Factor out the greatest common factor. 15g⁴ - 10g³ 

5g³(3g - 2)

500

Factor out the greatest common factor. 50z² - 100

50(z² - 2)

A > 1

100

Factor. 6y² -5y -4

(3y - 4)(2y + 1)

200

Factor. 6n² - 19n + 10

(3n - 2)(2n - 5)

300

Factor. 8k² - 10k - 3

(4K + 1)(2K - 3)

400

Factor. 9y² + 12y - 5

(3y - 1)(3y + 5)

500

Factor. 10z² - 7z - 6

(5z - 6)(2z + 1)

Factor by Grouping

100

Factor. 3y³ + y² + 9y +3

(y² + 3)(3y + 1)

200

Factor. 2p³ + 5p² + 6p + 15

(p² + 3)(2p + 5)

300

Factor. 5n³ − 10n² + 3n − 6

(5n² + 3)(n − 2)

400

Factor. 12n³ + 4n² + 3n + 1

(4n² + 1)(3n + 1)

500

Factor. 12a³ − 9a² + 4a − 3

(3a² + 1)(4a − 3)