Algebra Worksheet -- Factoring Quadratic Expressions with Positive 'a ...

Factoring Quadratic Expressions (A)

Name:

Factor each expression.

Date:

1. 6x2 - 5x + 1

11. 5x2 + 18x + 9

2. 4x2 - 13x + 9

12. 8x2 - 9x + 1

3. 5x2 - 36x - 81

13. 6x2 - 35x + 49

4. 2x2 - 7x - 72

14. 9x2 - 49x + 20

5. 8x2 + 42x + 49

15. 5x2 - 18x + 16

6. 7x2 + 18x - 9

16. x2 - 9x + 14

7. 6x2 - 7x - 5

17. 8x2 - 27x - 20

8. 4x2 + 17x + 18

18. 3x2 + 23x - 8

9. 5x2 + 24x - 36

19. 5x2 - 36x + 36

10. 4x2 - 8x - 5

20. 4x2 - 24x + 35

Math-

Factoring Quadratic Expressions (A) Answers

Name:

Factor each expression.

Date:

1. 6x2 - 5x + 1 (3x - 1)(2x - 1)

11. 5x2 + 18x + 9 (5x + 3)(x + 3)

2. 4x2 - 13x + 9 (x - 1)(4x - 9)

12. 8x2 - 9x + 1 (x - 1)(8x - 1)

3. 5x2 - 36x - 81 (5x + 9)(x - 9)

13. 6x2 - 35x + 49 (3x - 7)(2x - 7)

4. 2x2 - 7x - 72 (x - 8)(2x + 9)

14. 9x2 - 49x + 20 (x - 5)(9x - 4)

5. 8x2 + 42x + 49 (4x + 7)(2x + 7)

15. 5x2 - 18x + 16 (x - 2)(5x - 8)

6. 7x2 + 18x - 9 (7x - 3)(x + 3)

16. x2 - 9x + 14 (x - 2)(x - 7)

7. 6x2 - 7x - 5 (2x + 1)(3x - 5)

17. 8x2 - 27x - 20 (x - 4)(8x + 5)

8. 4x2 + 17x + 18 (x + 2)(4x + 9)

18. 3x2 + 23x - 8 (x + 8)(3x - 1)

9. 5x2 + 24x - 36 (5x - 6)(x + 6)

19. 5x2 - 36x + 36 (5x - 6)(x - 6)

10. 4x2 - 8x - 5 (2x - 5)(2x + 1)

20. 4x2 - 24x + 35 (2x - 5)(2x - 7)

Math-

Factoring Quadratic Expressions (B)

Name:

Factor each expression.

Date:

1. 6x2 - 53x + 40

11. 5x2 - 33x - 14

2. 8x2 + 6x - 9

12. 7x2 - 34x - 48

3. x2 + 16x + 63

13. 6x2 - 17x - 28

4. 4x2 - 4x + 1

14. 2x2 + 21x + 40

5. 6x2 + 29x + 9

15. 8x2 + 9x - 14

6. 2x2 + x - 10

16. x2 + 5x - 14

7. 6x2 + 31x + 5

17. 7x2 - 37x + 10

8. 6x2 - 13x - 63

18. 8x2 - 30x - 27

9. 8x2 - 22x + 9

19. 3x2 - 4x + 1

10. 6x2 - 61x + 63

20. 8x2 + 6x - 35

Math-

Factoring Quadratic Expressions (B) Answers

Name:

Factor each expression.

Date:

1. 6x2 - 53x + 40 (6x - 5)(x - 8)

11. 5x2 - 33x - 14 (5x + 2)(x - 7)

2. 8x2 + 6x - 9 (4x - 3)(2x + 3)

12. 7x2 - 34x - 48 (7x + 8)(x - 6)

3. x2 + 16x + 63 (x + 7)(x + 9)

13. 6x2 - 17x - 28 (6x + 7)(x - 4)

4. 4x2 - 4x + 1 (2x - 1)(2x - 1) = (2x - 1)2

14. 2x2 + 21x + 40 (x + 8)(2x + 5)

5. 6x2 + 29x + 9 (3x + 1)(2x + 9)

15. 8x2 + 9x - 14 (8x - 7)(x + 2)

6. 2x2 + x - 10 (x - 2)(2x + 5)

16. x2 + 5x - 14 (x - 2)(x + 7)

7. 6x2 + 31x + 5 (6x + 1)(x + 5)

17. 7x2 - 37x + 10 (x - 5)(7x - 2)

8. 6x2 - 13x - 63 (3x + 7)(2x - 9)

18. 8x2 - 30x - 27 (2x - 9)(4x + 3)

9. 8x2 - 22x + 9 (4x - 9)(2x - 1)

19. 3x2 - 4x + 1 (x - 1)(3x - 1)

10. 6x2 - 61x + 63 (x - 9)(6x - 7)

20. 8x2 + 6x - 35 (2x + 5)(4x - 7)

Math-

Factoring Quadratic Expressions (C)

Name:

Factor each expression.

Date:

1. 6x2 + 35x + 25

11. 9x2 - 40x + 16

2. 4x2 - 35x - 9

12. 2x2 + x - 6

3. 8x2 - 23x - 36

13. 4x2 - 17x - 15

4. 6x2 - 49x + 49

14. 4x2 - 21x + 20

5. 7x2 - 31x + 12

15. 8x2 + 51x + 18

6. 3x2 - 11x - 4

16. 8x2 - 9x - 14

7. 2x2 + 21x + 49

17. 7x2 + 17x + 6

8. 8x2 - 26x + 15

18. 8x2 + 2x - 45

9. 2x2 - 11x - 21

19. 9x2 - 29x + 6

10. 7x2 - 27x - 4

20. 3x2 + 16x + 5

Math-

Factoring Quadratic Expressions (C) Answers

Name:

Factor each expression.

Date:

1. 6x2 + 35x + 25 (x + 5)(6x + 5)

11. 9x2 - 40x + 16 (9x - 4)(x - 4)

2. 4x2 - 35x - 9 (x - 9)(4x + 1)

12. 2x2 + x - 6 (x + 2)(2x - 3)

3. 8x2 - 23x - 36 (x - 4)(8x + 9)

13. 4x2 - 17x - 15 (4x + 3)(x - 5)

4. 6x2 - 49x + 49 (x - 7)(6x - 7)

14. 4x2 - 21x + 20 (4x - 5)(x - 4)

5. 7x2 - 31x + 12 (7x - 3)(x - 4)

15. 8x2 + 51x + 18 (8x + 3)(x + 6)

6. 3x2 - 11x - 4 (x - 4)(3x + 1)

16. 8x2 - 9x - 14 (8x + 7)(x - 2)

7. 2x2 + 21x + 49 (2x + 7)(x + 7)

17. 7x2 + 17x + 6 (x + 2)(7x + 3)

8. 8x2 - 26x + 15 (2x - 5)(4x - 3)

18. 8x2 + 2x - 45 (2x + 5)(4x - 9)

9. 2x2 - 11x - 21 (2x + 3)(x - 7)

19. 9x2 - 29x + 6 (x - 3)(9x - 2)

10. 7x2 - 27x - 4 (x - 4)(7x + 1)

20. 3x2 + 16x + 5 (x + 5)(3x + 1)

Math-

Factoring Quadratic Expressions (D)

Name:

Factor each expression.

Date:

1. 2x2 - 13x + 6

11. 6x2 + 7x + 2

2. x2 + 5x - 14

12. 6x2 + x - 7

3. x2 + x - 30

13. 5x2 + 22x + 21

4. 3x2 - 13x + 12

14. 6x2 - 29x + 20

5. 2x2 - 7x - 49

15. 4x2 + 4x - 63

6. 4x2 - 45x + 81

16. 6x2 + 43x + 7

7. 7x2 + 27x + 18

17. 6x2 - 29x - 5

8. 4x2 - 16x + 15

18. 5x2 + 51x + 54

9. 4x2 + 9x - 9

19. 6x2 + 23x - 35

10. 5x2 - 22x + 8

20. 5x2 + 22x - 48

Math-

Factoring Quadratic Expressions (D) Answers

Name:

Factor each expression.

Date:

1. 2x2 - 13x + 6 (2x - 1)(x - 6)

11. 6x2 + 7x + 2 (3x + 2)(2x + 1)

2. x2 + 5x - 14 (x + 7)(x - 2)

12. 6x2 + x - 7 (6x + 7)(x - 1)

3. x2 + x - 30 (x + 6)(x - 5)

13. 5x2 + 22x + 21 (x + 3)(5x + 7)

4. 3x2 - 13x + 12 (x - 3)(3x - 4)

14. 6x2 - 29x + 20 (6x - 5)(x - 4)

5. 2x2 - 7x - 49 (2x + 7)(x - 7)

15. 4x2 + 4x - 63 (2x - 7)(2x + 9)

6. 4x2 - 45x + 81 (x - 9)(4x - 9)

16. 6x2 + 43x + 7 (x + 7)(6x + 1)

7. 7x2 + 27x + 18 (7x + 6)(x + 3)

17. 6x2 - 29x - 5 (x - 5)(6x + 1)

8. 4x2 - 16x + 15 (2x - 5)(2x - 3)

18. 5x2 + 51x + 54 (x + 9)(5x + 6)

9. 4x2 + 9x - 9 (4x - 3)(x + 3)

19. 6x2 + 23x - 35 (x + 5)(6x - 7)

10. 5x2 - 22x + 8 (5x - 2)(x - 4)

20. 5x2 + 22x - 48 (x + 6)(5x - 8)

Math-

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