NAME DATE PERIOD 5-3 Skills Practice - Welcome to Mr. Ryder's Website!

NAME

5-3 Skills Practice

DATE

PERIOD

Polynomial Functions

State the degree and leading coefficient of each polynomial in one variable. If it is not a polynomial in one variable, explain why.

1. a + 8 1; 1

2. (2x - 1)(4x2 + 3) 3; 8

3. -5x5 + 3x3 - 8 5; -5

4. 18 - 3y + 5y2 - y5 + 7y6 6; 7

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

Lesson 5X-3

5. u3 + 4u2t2 + t4

No, this polynomial contains two variables, u and t.

Find p(-1) and p(2) for each function.

7. p(x) = 4 - 3x 7; -2

6. 2r - r2 + -1r2

No, this is not a polynomial because -r12 cannot be written in the form rn, where n is a nonnegative integer. 8. p(x) = 3x + x2 - 2; 10

9. p(x) = 2x2 - 4x + 1 7; 1

10. p(x) = -2x3 + 5x + 3 0; -3

11. p(x) = x4 + 8x2 - 10 -1; 38

12. p(x) = -13 x2 - -23 x + 2 3; 2

If p(x) = 4x2 - 3 and r(x) = 1 + 3x, find each value.

13. p(a) 4a2 - 3

14. r(2a) 1 + 6a

15. 3r(a) 3 + 9a

16. -4p(a) -16a2 + 12

17. p(a2) 4a4 - 3

18. r(x + 2) 7 + 3x

For each graph, a. describe the end behavior, b. determine whether it represents an odd-degree or an even-degree function, and c. state the number of real zeroes.

19.

f (x) 4

2

20.

f (x) 4

2

21.

4 f (x)

2

-4 -2 O -2

-4

2 4x

-4 -2 O -2

-4

2 4x

-4 -2 O -2

-4

2 4x

f(x) + as x +, f (x) - as x +, f (x) - as x +,

f(x) - as x -; f (x) - as x -; f(x) + as x -;

odd; 1

even; 4

odd; 3

Chapter 5

19

Glencoe Algebra 2

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