Factoring Trinomials Worksheet

Mathematics Worksheet | Classes 8–10

Name: ____________________ Class: __________ Date: ____________________

A. Factor the trinomials

Factor each trinomial completely.

1. $x^2+5x+6$

2. $x^2+7x+12$

3. $x^2+9x+20$

4. $x^2+8x+15$

5. $x^2+11x+24$

6. $x^2+10x+21$

7. $x^2+6x+8$

8. $x^2+12x+35$

B. Factor trinomials with negative terms

9. $x^2-5x+6$

10. $x^2-7x+12$

11. $x^2+x-12$

12. $x^2-2x-15$

13. $x^2-9x+20$

14. $x^2+2x-24$

15. $x^2-4x-21$

16. $x^2-3x-28$

C. Factor trinomials with leading coefficients

17. $2x^2+7x+3$2

18. $3x^2+8x+4$3

19. $2x^2+9x+10$2

20. $3x^2+10x+8$3

21. $2x^2-5x+2$2

22. $4x^2+12x+9$4

23. $6x^2+11x+3$6

24. $5x^2-13x+6$5

D. Factor each expression completely.

25. $x^2-16$x2−16

26. $x^2+14x+49$

27. $4x^2-25$

28. $x^2-10x+25$

29. $6x^2-x-2$6

30. $8x^2+10x+3$8

Answer Key

Answers for teachers and parents

No.	Factored form
1	$(x+2)(x+3)$(x+2)(x+3)
2	$(x+3)(x+4)$(x+3)(x+4)
3	$(x+4)(x+5)$(x+4)(x+5)
4	$(x+3)(x+5)$(x+3)(x+5)
5	$(x+3)(x+8)$(x+3)(x+8)
6	$(x+3)(x+7)$(x+3)(x+7)
7	$(x+2)(x+4)$(x+2)(x+4)
8	$(x+5)(x+7)$(x+5)(x+7)
9	$(x-2)(x-3)$(x−2)(x−3)
10	$(x-3)(x-4)$(x−3)(x−4)
11	$(x+4)(x-3)$(x+4)(x−3)
12	$(x-5)(x+3)$(x−5)(x+3)
13	$(x-4)(x-5)$(x−4)(x−5)
14	$(x+6)(x-4)$(x+6)(x−4)
15	$(x-7)(x+3)$(x−7)(x+3)
16	$(x-7)(x+4)$(x−7)(x+4)
17	$(2x+1)(x+3)$(2x+1)(x+3)
18	$(3x+2)(x+2)$(3x+2)(x+2)
19	$(2x+5)(x+2)$(2x+5)(x+2)
20	$(3x+4)(x+2)$(3x+4)(x+2)
21	$(2x-1)(x-2)$(2x−1)(x−2)
22	$(2x+3{)}^2$(2x+3)2
23	$(3x+1)(2x+3)$(3x+1)(2x+3)
24	$(5x-3)(x-2)$(5x−3)(x−2)
25	$(x-4)(x+4)$(x−4)(x+4)
26	$(x+7{)}^2$(x+7)2
27	$(2x-5)(2x+5)$(2x−5)(2x+5)
28	$(x-5{)}^2$(x−5)2
29	$(3x-2)(2x+1)$(3x−2)(2x+1)
30	$(4x+3)(2x+1)$(4x+3)(2x+1)