Factoring Trinomials Worksheet

Factoring Trinomials

Read each question carefully and factor the given trinomials completely. Show all your work.

Factor each trinomial where a = 1.

1. x² + 7x + 10

2. y² - 9y + 18

3. m² + 2m - 24

Factor each trinomial where a ≠ 1.

4. 2x² + 11x + 5

5. 3y² - 10y + 8

6. 5m² + 13m - 6

Complete the factoring of each trinomial.

7. x² + 5x + 6 = (x + 2)(x +  )

8. 3x² + 7x - 6 = (3x - 2)(x +  )

9. 4x² - 9x + 2 = (4x - 1)(x -  )

Determine if the following statements about factoring trinomials are True or False.

10. The trinomial x² + 4 is factorable over real numbers.

11. (2x - 3)(x + 5) is the correct factorization of 2x² + 7x - 15.

Factor the following trinomials completely. Remember to look for a GCF first.

12. 4x³ + 20x² + 24x

13. 6x² - 7xy - 3y²