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

NAME DATE PERIOD

Lesson 8-1

Chapter 8 7 Glencoe Algebra 1

Skills Practice

Adding and Subtracting Polynomials

Find each sum or difference.

1. (2x + 3y

) + (4x + 9y) 6x + 12y 2. (6s + 5t) + (4t + 8s) 14s + 9t

3. (5a + 9b) - (2a + 4b) 3a + 5b 4. (11m - 7n) - (2m + 6n) 9m - 13n

5. (m2

- m) + (2m + m 2 ) 2m 2 + m 6. (x 2 - 3x) - (2x 2 + 5x) -x 2 - 8x 7. (d 2 - d + 5) - (2d + 5) d 2 - 3d 8. (2h2 - 5h) + (7h - 3h 2 ) -h 2 + 2h

9. (5f + g - 2) + (-2f + 3) 10. (6k

2 + 2k + 9) + (4k 2 - 5k)

3f + g + 1 10k

2 - 3k + 9Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial.

11. 5mt + t

2

12. 4by + 2b - by

yes; 2; binomial yes; 2; binomial

13. -32 14.

3 x 7 yes; 0; monomial yes; 1; monomial

15. 5x

2 - 3x 4

16. 2c

2 + 8c + 9

3 no yes; 2; trinomial

Write each polynomial in standard form. Identify the leading coefficient.

17. 3x + 1 + 2x

2

18. 5x - 6 + 3x

2 2 x 2 + 3x + 1; 2 3x 2 + 5x - 6; 3

19. 9x

2 + 2 + x 3 + x 20. -3 + 3x 3 x2 + 4x x 3 + 9x 2 + x + 2; 1 3x 3 - x 2 + 4x - 3; 3 21. x
2 + 3x 3 + 27 - x 22. 25 - x 3 + x 3x 3 + x 2 x + 27; 3 -x3 + x + 25; -1

23. x - 3x

2 + 4 + 5x 3 24. x
2 + 64 - x + 7x 3 5x 3 - 3x 2 + x + 4; 5 7x 3 + x 2 - x + 64; 7 8-1quotesdbs_dbs17.pdfusesText_23