Name ___________________________________________________ Date_____________________

Polynomials Review Ms. Hanif

1. Which expression is equivalent to ? 1) 3)

2) 4)

2. What is the product of and ? 1) 3)

2) 4)

3. What are the solutions to the equation ? 1)

and 3)

and

2) and 4

4) and 2

4. How many real-number solutions does

have? 1) one

2) two

3) zero

4) infinitely many

5. The expression is equivalent to

1) 3)

2) 4)

6. The range of the function is

all real numbers 1) less than or equal

to

3) less than or equal

to

2) greater than or

equal to

4) greater than or

equal to

7. An expression of the fifth degree is written with a leading coefficient of seven and a constant of six. Which expression is correctly written for these conditions? 1) 3)

2) 4)

8. The expression is equivalent to 1) 3)

2) 4)

9. The zeros of the function are

1) and 6 3) 2 and

2) 1 and 4) and 3

10. What is the solution of the equation

?

1) 6, only 3) 2 and

2) 2, only 4) 6 and

11. Which equation and ordered pair represent the correct

vertex form and vertex for ?

1) 3)

2) 4)

12. The zeros of the function

are 1) 3 and 3) and 1

2) 3 and 1 4) and

13. In the function , the minimum value occurs

when x is 1)

3)

2) 2 4) 4

14. Which polynomial function has zeros at -3, 0, and 4? 1) 3)

2) 4)

15. When multiplying polynomials for a math assignment, Pat found the product to be

. He then had to state the leading coefficient of this polynomial. Pat wrote down .

Do you agree with Pat's answer? Explain your reasoning.

16. Given that , find if .

17. Amy solved the equation . She stated that the solutions to the equation were and .

Do you agree with Amy's solutions? Explain why or why not.

18. Solve the equation for y:

19. Fred's teacher gave the class the quadratic function .

a) State two different methods Fred could use to solve the equation .

b) Using one of the methods stated in part a, solve for x, to the nearest tenth.

20. Graph the function on the set of axes below.

State the coordinates of the vertex of the graph.