FACTORING POLYNOMIALS

Common Monomial

100

Factor x² + 5x.

x (x + 5)

200

Factor x² - 7x.

x (x - 7)

300

Factor 4x² + 8x. 

4x (x + 2)

400

Factor 9x² - 6x.

3x (3x - 2)

500

Factor 10x² - 15x.

5x (2x - 3)

Difference of Two Squares

100

Factor x² - 4.

(x + 2) (x - 2)

200

Factor x² - 64.

(x + 8) (x - 8)

300

Factor 16x² - 1 

(4x + 1) (4x - 1)

400

Factor 49x² - 144.

(7x + 12) (7x - 12)

500

Factor 16x² - 225.

(4x + 15) (4x - 15)

Perfect Square Trinomials

100

Factor x² + 4x + 4.

(x + 2)² or (x + 2) (x + 2)

200

Factor x² + 10x + 25.

(x + 5)² or (x + 5) (x + 5)

300

Factor x² - 2x + 1.

(x - 1)² or (x - 1) (x - 1)

400

Factor x² - 24x + 144.

(x - 12)² or (x - 12) (x -12)

500

Factor 4x² + 12x + 9.

(2x + 3)² or (2x + 3) (2x + 3)

General Trinomials 1

100

Factor x² + 6x + 5.

(x + 5) (x + 1) or (x + 1) (x + 5)

200

Factor x² + 8x + 15.

(x + 3) (x + 5) or (x + 5) (x + 3)

300

Factor x² - 7x + 10.

(x - 2) (x - 5) or (x - 5) (x - 2)

400

Factor x² - 13x + 36. 

(x - 4) (x - 9) or (x - 9) (x - 4)

500

Factor x² - 15x + 54.

(x - 6) (x - 9) or (x - 9) (x - 6)

General Trinomials 2

100

Factor x² + 3x - 18.

(x + 6) (x - 3) or (x -3) (x + 6)

200

Factor x² + x - 20.

(x + 5) (x -4) or (x -4) (x+5)

300

Factor x² - 2x - 24.

(x - 6) (x + 4) or (x + 4) (x - 6)

400

Factor x² - x - 56.

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

500

Factor x² - 3x - 88. 

(x - 11) (x + 8) or (x + 8) (x - 11)