2.7 Factoring Perfect Square Trinomials

[Pages:2]Unit 2 Polynomials

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2.7 Factoring Perfect Square Trinomials

Date________________ Period____

Factor each completely.

1) 3n2 + 30n + 75

2) 9a2 - 30a + 25

3) r2 + 6r + 9

4) 25x2 - 40x + 16

5) 25n2 - 30n + 9

6) 9b2 + 12b + 4

7) 3k2 - 24k + 48

8) 4b2 + 12b + 9

9) 100 p2 - 40 p + 4

10) 80 p2 + 200 p + 125

11) 2x2 - 16x + 32

12) m2 + 10m + 25

13) 125x2 - 200x + 80

14) 16n2 - 24n + 9

15) 16x2 - 40x + 25

16) 4b2 + 20b + 25

17) 9k2 + 6k + 1

18) 27x2 + 18x + 3

19) 4x2 - 8x + 4

20) 100n2 - 80n + 16

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Worksheet by Kuta Software LLC

Unit 2 Polynomials

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2.7 Factoring Perfect Square Trinomials

Date________________ Period____

Factor each completely.

1) 3n2 + 30n + 75

2) 9a2 - 30a + 25

3(n + 5)2

(3a - 5)2

3) r2 + 6r + 9

(r + 3)2

4) 25x2 - 40x + 16

(5x - 4)2

5) 25n2 - 30n + 9

(5n - 3)2

6) 9b2 + 12b + 4

(3b + 2)2

7) 3k2 - 24k + 48

3(k - 4)2

8) 4b2 + 12b + 9

(2b + 3)2

9) 100 p2 - 40 p + 4

4(5 p - 1)2

10) 80 p2 + 200 p + 125

5(4 p + 5)2

11) 2x2 - 16x + 32

2(x - 4)2

12) m2 + 10m + 25

(m + 5)2

13) 125x2 - 200x + 80

5(5x - 4)2

14) 16n2 - 24n + 9

(4n - 3)2

15) 16x2 - 40x + 25

(4x - 5)2

16) 4b2 + 20b + 25

(2b + 5)2

17) 9k2 + 6k + 1

(3k + 1)2

18) 27x2 + 18x + 3

3(3x + 1)2

19) 4x2 - 8x + 4

4(x - 1)2

20) 100n2 - 80n + 16

4(5n - 2)2

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Worksheet by Kuta Software LLC

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