# Factoring a Trinomial

Factor each trinomial, enter the result in the box provided.

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: 5u^2 - 11uv + 6v^2 `
`Answer: (5u - 6v)(u - v)`

## Quiz:

1. `Equation: x^2 + 2x + 1 `
`Answer: (x + 1)(x + 1)`

2. `Equation: x^2 + 2xy + y^2 `
`Answer: (x + y)(x + y)`

3. `Equation: 3x^2 + 7xy + 4y^2 `
`Answer: (x + y)(3x + 4y)`

4. `Equation: 6 + 23k + 7k^2 `
`Answer: (2 + 7k)(3 + k)`

5. `Equation: j^2 - 4j - 45 `
`Answer: (j + 5)(j - 9)`

6. `Equation: p^2 + 9p - 22 `
`Answer: (p - 2)(p + 11)`

7. `Equation: m^2 - 5m + 6 `
`Answer: (m - 3)(m - 2)`

8. `Equation: q^2 - 2q + 1 `
`Answer: (q - 1)(q - 1)`

9. `Equation: y^2 - 10y + 25 `
`Answer: (y - 5)(y - 5)`

10. `Equation: u^2 - 3uv + 2v^2 `
`Answer: (u - v)(u - 2v)`

11. `Equation: 9k^2 + 46k + 5 `
`Answer: (9k + 1)(k + 5)`

12. `Equation: 91 + 24q - 27q^2 `
`Answer: (13 + 9q)(7 - 3q)`

13. `Equation: 4k^2 + 28k + 49 `
`Answer: (2k + 7)(2k + 7)`

14. `Equation: 42x^2 + 43x - 7 `
`Answer: (6x + 7)(7x - 1)`

15. `Equation: 6m^2 - 13mn + 6n^2 `
`Answer: (2m - 3n)(3m - 2n)`

16. `Equation: 12 - 7p + p^2 `
`Answer: (4 - p)(3 - p)`

17. `Equation: x^4 - 2x^2 - 3 `
`Answer: (x^2 + 1)(x^2 - 3)`

18. `Equation: x^4 - x^2y^2 - 2y^4 `
`Answer: (x^2 + y^2)(x^2 - 2y^2)`

19. `Equation: 21 + 4k^2 - k^4 `
`Answer: (3 + k^2)(7 - k^2)`

20. `Equation: 3 - 10r^2 + 8r^4 `
`Answer: (1 - 2r^2)(3 - 4r^2)`

## Related Pages

Factoring a Trinomial Lesson

Brush up on your knowledge of the techniques needed to solve problems on this page.

Expression Factoring Calculator

Enter an expression, the calculator will factor a trinomial and other types of expressions.

## Tutoring

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