# Solve By Factoring Worksheet

Solve each equation by factoring.

Click “Show Answer” underneath the problem to see the answer. Or click the “Show Answers” button at the bottom of the page to see all the answers at once.

If you need assistance with a particular problem, click the “step-by-step” link for an in depth solution.

## Example:

Equation: x^2 - 12x + 27 = 0

## Quiz:

1. Equation: x^2 + x = 0

2. Equation: x^2 - 1 = 0

3. Equation: x^2 - 5x + 6 = 0

4. Equation: x^3 + 3x^2 - 4x = 0
Answer: x = -4, 0, 1

5. Equation: x^4 - 10x^2 + 9 = 0
Answer: x = -3, -1, 1, 3

6. Equation: y^2 - 10y + 21 = 0

7. Equation: m^2 + 18m + 81 = 0

8. Equation: q^2 + 3q - 70 = 0

9. Equation: a^2 - 12a + 32 = 0

10. Equation: b^2 + 12b + 35 = 0

11. Equation: 5j^2 - 20 = 0

12. Equation: 3p^2 - 12p + 63 = 0

13. Equation: -2p^2 + 28p - 66 = 0

14. Equation: 20q^2 - 13q + 2 = 0

15. Equation: 10x^2 - 9x + 2 = 0

16. Equation: 16y^2 - 1 = 0

17. Equation: 2x^3 - 9x^2 - 5x = 0
Answer: x = -0.5, 0, 5

18. Equation: x^4 - x^2 = 0
Answer: x = -1, 0, 1

19. Equation: 25x^3 - 10x^2 - 3x = 0
Answer: x = -0.2, 0, 0.6

20. Equation: 16y^2 - 12y + 2 = 0

21. Equation: x + 2 = 3x - x^2 + 5

22. Equation: k^2 = k

23. Equation: p^2 + 21p - 49 = 21p

24. Equation: 5 = 9q + 2q^2

25. Equation: g^2 = 13 - 12g

26. Equation: k^3 + 4k^2 + 4k = -k^3 + 10k
Answer: k = -3, 0, 1

27. Equation: (2m + 1)(2m + 1) = 4m + 2

28. Equation: 15b = 11 - b^2 + 5b

29. Equation: x(x + 6)(x - 4) = 24x
Answer: x = -8, 0, 6

30. Equation: (y + 9)(y - 2) = 4y

## Related Pages

Solve By Factoring Lesson