Factoring Quadratic Expressions - Kuta Software LLC

Kuta Software - Infinite Algebra 2

Factoring Quadratic Expressions

Factor each completely. 1) x2 - 7x - 18

Name___________________________________ Date________________ Period____

2) p2 - 5 p - 14

3) m2 - 9m + 8

4) x2 - 16x + 63

5) 7x2 - 31x - 20

6) 7k2 + 9k

7) 7x2 - 45x - 28

8) 2b2 + 17b + 21

9) 5 p2 - p - 18

10) 28n4 + 16n3 - 80n2

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Worksheet by Kuta Software LLC

11) 3b3 - 5b2 + 2b 13) 30n2b - 87nb + 30b

12) 7x2 - 32x - 60 14) 9r2 - 5r - 10

15) 9 p2r + 73 pr + 70r

16) 9x2 + 7x - 56

17) 4x3 + 43x2 + 30x

18) 10m2 + 89m - 9

Critical thinking questions:

19) For what values of b is the expression factorable? x2 + bx + 12

20) Name four values of b which make the

expression factorable: x2 - 3x + b

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Factoring Quadratic Expressions

Factor each completely. 1) x2 - 7x - 18

(x - 9)(x + 2)

Name___________________________________ Date________________ Period____

2) p2 - 5 p - 14

( p + 2)( p - 7)

3) m2 - 9m + 8

(m - 1)(m - 8)

4) x2 - 16x + 63

(x - 9)(x - 7)

5) 7x2 - 31x - 20

(7x + 4)(x - 5)

6) 7k2 + 9k

k(7k + 9)

7) 7x2 - 45x - 28

(7x + 4)(x - 7)

8) 2b2 + 17b + 21

(2b + 3)(b + 7)

9) 5 p2 - p - 18

(5 p + 9)( p - 2)

10) 28n4 + 16n3 - 80n2

4n2(7n - 10)(n + 2)

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Worksheet by Kuta Software LLC

11) 3b3 - 5b2 + 2b

b(3b - 2)(b - 1)

13) 30n2b - 87nb + 30b

3b(2n - 5)(5n - 2)

12) 7x2 - 32x - 60

(7x + 10)(x - 6)

14) 9r2 - 5r - 10 Not factorable

15) 9 p2r + 73 pr + 70r

r( p + 7)(9 p + 10)

16) 9x2 + 7x - 56 Not factorable

17) 4x3 + 43x2 + 30x

x(x + 10)(4x + 3)

18) 10m2 + 89m - 9

(m + 9)(10m - 1)

Critical thinking questions:

19) For what values of b is the expression factorable? x2 + bx + 12

13, 8, 7, -13, -8, -7

20) Name four values of b which make the expression factorable: x2 - 3x + b

Many answers. Ex: 0, 2, -4, -10, -18

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at

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