FACTOR POLYNOMIALS BY GROUPING WORKSHEET

Factor the following polynomial by grouping.

Problem 1 :

x⁴ - 2x³ + 3x² - 6x

Problem 2 :

x⁵ - x⁴ - 2x³ + 2x²

Problem 3 :

x⁴ - 3x³ - 5x² + 15x

Problem 4 :

x² (x - 1) - 9(x - 1)

Problem 5 :

x³ - 2x² - 16x + 32

Problem 6 :

4x²(x - 3) - 25(x - 3)

Problem 7 :

x³ + 4x² - 36x - 144

Answer Key

1) x (x - 2)(x² + 3)

2) x²(x - 1) (x² - 2)

3) x(x² - 5) (x - 3)

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

5) (x - 2) (x + 4) (x - 4).

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

7) (x + 4) (x + 6) (x - 6)