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Math Coach Amy
Amy Ferguson Moncure

Factoring Quadratics (a = 1)

Factor each quadratic. Click to check your answer.

Level 1

b > 0, c > 0

Positive factors

1

Factor: x² + 17x + 72

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(x + 8)(x + 9)

2

Factor: x² + 15x + 14

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(x + 1)(x + 14)

3

Factor: x² + 11x + 30

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(x + 5)(x + 6)

4

Factor: x² + 10x + 9

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(x + 1)(x + 9)

5

Factor: x² + 20x + 75

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(x + 5)(x + 15)

6

Factor: x² + 16x + 60

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(x + 6)(x + 10)

7

Factor: x² + 18x + 72

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(x + 6)(x + 12)

8

Factor: x² + 16x + 28

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(x + 2)(x + 14)

9

Factor: x² + 12x + 35

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(x + 5)(x + 7)

10

Factor: x² + 13x + 42

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(x + 6)(x + 7)

11

Factor: x² + 19x + 88

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(x + 8)(x + 11)

12

Factor: x² + 19x + 90

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(x + 9)(x + 10)

13

Factor: x² + 9x + 14

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(x + 2)(x + 7)

14

Factor: x² + 9x + 18

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(x + 3)(x + 6)

15

Factor: x² + 12x + 27

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(x + 3)(x + 9)

16

Factor: x² + 7x + 6

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(x + 1)(x + 6)

Level 2

b < 0, c > 0

Negative b, positive c

1

Factor: x² – 5x + 4

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(x – 1)(x – 4)

2

Factor: x² – 17x + 72

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(x – 8)(x – 9)

3

Factor: x² – 13x + 40

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(x – 5)(x – 8)

4

Factor: x² – 22x + 72

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(x – 4)(x – 18)

5

Factor: x² – 16x + 28

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(x – 2)(x – 14)

6

Factor: x² – 4x + 3

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(x – 1)(x – 3)

7

Factor: x² – 15x + 56

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(x – 7)(x – 8)

8

Factor: x² – 19x + 18

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(x – 1)(x – 18)

9

Factor: x² – 22x + 112

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(x – 8)(x – 14)

10

Factor: x² – 10x + 9

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(x – 1)(x – 9)

11

Factor: x² – 20x + 84

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(x – 6)(x – 14)

12

Factor: x² – 20x + 99

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(x – 9)(x – 11)

13

Factor: x² – 12x + 35

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(x – 5)(x – 7)

14

Factor: x² – 15x + 44

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(x – 4)(x – 11)

15

Factor: x² – 16x + 39

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(x – 3)(x – 13)

16

Factor: x² – 16x + 48

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(x – 4)(x – 12)

Level 3

c < 0

Negative constant term

1

Factor: x² + 5x – 6

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(x + 6)(x – 1)

2

Factor: x² – 5x – 6

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(x + 1)(x – 6)

3

Factor: x² + 13x – 30

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(x + 15)(x – 2)

4

Factor: x² + 4x – 5

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(x + 5)(x – 1)

5

Factor: x² – 8x – 9

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(x + 1)(x – 9)

6

Factor: x² + 14x – 15

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(x + 15)(x – 1)

7

Factor: x² – 9x – 10

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(x + 1)(x – 10)

8

Factor: x² – 10x – 24

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(x + 2)(x – 12)

9

Factor: x² + 3x – 10

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(x + 5)(x – 2)

10

Factor: x² + 8x – 20

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(x + 10)(x – 2)

11

Factor: x² – 6x – 16

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(x + 2)(x – 8)

12

Factor: x² + 7x – 30

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(x + 10)(x – 3)

13

Factor: x² – 11x – 12

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(x + 1)(x – 12)

14

Factor: x² + 9x – 22

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(x + 11)(x – 2)

15

Factor: x² – 13x – 30

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(x + 2)(x – 15)

16

Factor: x² + 12x – 35

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(x + 7)(x – 5)

17

Factor: x² – 15x – 54

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(x + 3)(x – 18)

18

Factor: x² + 16x – 36

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(x + 18)(x – 2)

19

Factor: x² – 4x – 21

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(x + 3)(x – 7)

20

Factor: x² + 5x – 14

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(x + 7)(x – 2)

Level 4

Mixed Levels 1-3

1

Factor: x² + 5x + 6

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(x + 2)(x + 3)

Level 5

Harder Mixed

1

Factor: x² + 19x + 88

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(x + 8)(x + 11)

2

Factor: x² – 23x + 130

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(x – 10)(x – 13)

3

Factor: x² + 28x – 195

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(x + 35)(x – 7)

4

Factor: x² – 17x + 72

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(x – 8)(x – 9)

5

Factor: x² + 21x – 54

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(x + 27)(x – 2)

6

Factor: x² – 25x + 100

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(x – 5)(x – 20)

7

Factor: x² + 27x – 182

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(x + 26)(x – 7)

8

Factor: x² – 22x + 120

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(x – 10)(x – 12)

9

Factor: x² + 26x – 168

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(x + 28)(x – 6)

10

Factor: x² – 19x – 88

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(x + 8)(x – 11)

11

Factor: x² + 29x + 210

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(x + 14)(x + 15)

12

Factor: x² – 24x – 135

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(x + 9)(x – 15)

13

Factor: x² + 31x – 240

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(x + 40)(x – 6)

14

Factor: x² – 18x + 80

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(x – 8)(x – 10)

15

Factor: x² + 23x – 130

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(x + 26)(x – 5)

16

Factor: x² – 21x – 72

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(x + 3)(x – 24)

17

Factor: x² + 32x + 255

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(x + 15)(x + 17)

18

Factor: x² – 26x + 165

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(x – 11)(x – 15)

19

Factor: x² + 20x – 96

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(x – 4)(x + 24)

20

Factor: x² – 27x – 140

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(x + 5)(x – 28)

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