Name ______Date ______

Practice Test

For use after the chapter “Polynomials and Polynomial Functions”

1. Write in scientific notation.

2. Simplify .

3. Use direct substitution to evaluate –3x4 – 2x2 + x5 – 2 for
x = –1.

4. Use synthetic substitution to evaluate 2x4 – 2x3 – 2x2 + 20 for
x = 3.

5. Describe End Behavior and then graph f(x) = –2x3 + 2x2 + 3x.

Perform the indicated operation.

6. (1 – y3 + 2y5) – (2 + y3 – y5)

7. (x2 + 7x – 5)(2x2 – 4x – 5)

Factor the polynomial completely using any method.

8. 4x3 + 16x2 – 9x – 36 9. 9y4 – 16

10. A wooden board is shaped like a rectangular prism. It has a total
volume of 324 cubic inches. The width is 3 inches less than the
height and the length is 12 inches longer than the height. What are
the dimensions of the board?

Divide using polynomial long division and/or synthetic division.

11. (x3 – 4x2 – 4x + 16) ÷ (x – 2)

12. (x3 + 9x2 + 49x + 70) ÷ (x + 2)

13. Find the other zeros of f(x) = x3 – 79x – 210 given
that one zero is 10.

Factor completely, then solve.

14.

15.

16.
Name ______Date ______

Practice Test continued

For use after the chapter “Polynomials and Polynomial Functions”

17. The profit (in millions of dollars) for a producer of electric scooters
can be modeled by P = –x3 + 7x where x is the number of scooters
produced (in millions). Currently, the company produces 2 million
scooters and makes a profit of $6,000,000. What lesser number of
scooters could the company produce and still yield the same profit?

18. List the possible rational zeros of f(x) = 3x3 + 2x2 + 4x – 18 using
the rational zero theorem.

19. Find all zeros of f(x) = x4 + x3 – 11x2 – 5x + 30.

20. Write a polynomial function f of least degree that has rational
coefficients, a leading coefficient of 1, and the zeros 2i and
–3 + .

Graph the function.

21. f(x) = –2x(x – 2)(x + 1)

22. f(x) = (x – 2)2 (x – 3)(x + 1)

Review Problems from

Ch. 2 NOTES

HWS/Classworks

QUIZZES.

Calculator Quiz

Quiz 2.1-2.3,

Quiz 2.4

Quiz 2.4,5,6

+ Calculator Information.

·  Zeros, Max, Min, Window adjust, Open Top Box Word Problem.

·  Cubic, Quartic, Quintic Regression.

Answers:

1. 5.0 × 103 2. 3a5b2 3. –8 4. 110

5.

6. 3y5 – 2y3 – 1

7. 2x4 + 10x3 – 43x2 –15x + 25

8. (x + 4)(2x + 3)(2x – 3)

9. (3y2 + 4)

10. 6 in. by 3 in. by 18 in. 11. x2 – 2x – 8

12. x2 + 7x + 35 13. –3, –7

14. 15.

16. 17. 1 million

18.

19. –3, 2, 20. x4 + 6x3 + 8x2 + 24x + 16

21. 22.