Skills Practice

NAME ______________________________________________ DATE______________ PERIOD _____

5-3

Skills Practice Solving Quadratic Equations by Factoring

Write a quadratic equation with the given roots. Write the equation in standard form. 1. 1, 4

2. 6, 29

3. 22, 25

4. 0, 7

1 3

5. 2 } , 23

1 3 2 4

6. 2 } , }

Factor each polynomial. 7. m2 1 7m 2 18

8. 2x2 2 3x 2 5

9. 4z2 1 4z 2 15

10. 4p2 1 4p 2 24

12. c2 2 100

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

11. 3y2 1 21y 1 36

Solve each equation by factoring. 13. x2 5 64

14. x2 2 100 5 0

15. x2 2 3x 1 2 5 0

16. x2 2 4x 1 3 5 0

17. x2 1 2x 2 3 5 0

18. x2 2 3x 2 10 5 0

19. x2 2 6x 1 5 5 0

20. x2 2 9x 5 0

21. x2 2 4x 5 21

22. 2x2 1 5x 2 3 5 0

23 4x2 1 5x 2 6 5 0

24. 3x2 2 13x 2 10 5 0

25. NUMBER THEORY Find two consecutive integers whose product is 272. Chapter 5

22

Glencoe Algebra 2

NAME ______________________________________________ DATE______________ PERIOD _____

5-5

Skills Practice Completing the Square

Solve each equation by using the Square Root Property. 1. x2 2 8x 1 16 5 1

2. x2 1 4x 1 4 5 1

3. x2 1 12x 1 36 5 25

4. 4x2 2 4x 1 1 5 9

5. x2 1 4x 1 4 5 2

6. x2 2 2x 1 1 5 5

7. x2 2 6x 1 9 5 7

8. x2 1 16x 1 64 5 15

9. x2 1 10x 1 c

10. x2 2 14x 1 c

11. x2 1 24x 1 c

12. x2 1 5x 1 c

13. x2 2 9x 1 c

14. x2 2 x 1 c

Solve each equation by completing the square. 15. x2 2 13x 1 36 5 0

16. x2 1 3x 5 0

17. x2 1 x 2 6 5 0

18. x2 2 4x 2 13 5 0

19. 2x2 1 7x 2 4 5 0

20. 3x2 1 2x 2 1 5 0

21. x2 1 3x 2 6 5 0

22. x2 2 x 2 3 5 0

23. x2 5 211

24. x2 2 2x 1 4 5 0

Chapter 5

37

Lesson 5-5

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.

Glencoe Algebra 2