Factoring Perfect Square Trinomials - Answer Key

Sep 30, 2026

Uploaded by Ezra

Practice and answer key for factoring perfect square trinomials. Students are asked to factor twenty quadratic expressions written in standard trinomial form, including terms with positive and negative middle coefficients and perfect-square constants. The answer key provides the completed factorizations as binomial squares, such as (x ± n)^2, for each numbered problem. A score/scale section is also included to support assessment and checking.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Factor Each Expression

Problems 1-20

Answers

Factoring Perfect Square Trinomials Name: Factor each expression. 1) x2-20x + 100 2) x2 + 14x + 49 3) x2 + 4x + 4 4) x2-6x + 9 5) x2-22x + 121 6) x2 + 12x + 36 7) x2-24x + 144 8) x2 + 22x + 121 9) x2 + 2x + 1 10) x2 + 10x + 25 11) x2 + 8x + 16 12) x2-14x + 49 13) x2-8x + 16 14) x2 + 20x + 100 15) x2-16x + 64 16) x2-18x + 81 17) x2-10x + 25 18) x2 + 16x + 64 19) x2-4x + 4 20) x2 + 24x + 144 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. Answers Math [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 5 1-10 95 90 85 80 75 70 65 60 55 50 11-20 45 40 35 30 25 20 15 10 5 0 Factoring Perfect Square Trinomials Name: Answer Key Factor each expression. 1) x2-20x + 100 2) x2 + 14x + 49 3) x2 + 4x + 4 4) x2-6x + 9 5) x2-22x + 121 6) x2 + 12x + 36 7) x2-24x + 144 8) x2 + 22x + 121 9) x2 + 2x + 1 10) x2 + 10x + 25 11) x2 + 8x + 16 12) x2-14x + 49 13) x2-8x + 16 14) x2 + 20x + 100 15) x2-16x + 64 16) x2-18x + 81 17) x2-10x + 25 18) x2 + 16x + 64 19) x2-4x + 4 20) x2 + 24x + 144 Answers 1. (x-10)2 2. (x + 7)2 3. (x + 2)2 4. (x-3)2 5. (x-11)2 6. (x + 6)2 7. (x-12)2 8. (x + 11)2 9. (x + 1)2 10. (x + 5)2 11. (x + 4)2 12. (x-7)2 13. (x-4)2 14. (x + 10)2 15. (x-8)2 16. (x-9)2 17. (x-5)2 18. (x + 8)2 19. (x-2)2 20. (x + 12)2 Math [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 5 1-10 95 90 85 80 75 70 65 60 55 50 11-20 45 40 35 30 25 20 15 10 5 0 Factoring Perfect Square Trinomials Name: | Factor each expression.
1) x2-20x + 100
2) x2 + 14x + 49
3) x2 + 4x + 4
4) x2-6x + 9
5) x2-22x + 121
6) x2 + 12x + 36
7) x2-24x + 144
8) x2 + 22x + 121
9) x2 + 2x + 1
10) x2 + 10x + 25
11) x2 + 8x + 16
12) x2-14x + 49 | | | | | | Answers
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Math | Modified
[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 5 | 1-10
11-12 | 92 | 83 | | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 | | | | | | 8 | 0 | | | | | | | | | |

FAQs

What does the worksheet ask students to do?

Factor each provided trinomial expression into a squared binomial form.

How many factoring problems are included?

There are 20 problems, numbered 1 through 20.

What format are the answers in?

Each answer is given as a perfect-square binomial, written like (x ± n)^2.

Sep 30, 2026

Uploaded by Ezra