1. Algebra 2/Trig Higher Order Polynomials Test Review

2. Match the polynomial function with its graph.

3. Answers

4. Match the roots with the graphs.
x = -1, 0 , 1
x = -2, 0, 2
x = -2, -1, 1, 2

5. Answers
x = -2, 0, 2
x = -2, -1, 1, 2
x = -1, 0 , 1

6. Write the equation with the following roots, then draw a rough sketch of the graph.
a < 0; x = 2, -1

7. Answers
-(x – 2) (x + 1)
-(x2 +1x -2x -2)
-(x2 -1x -2)
-x2 +1x +2

8. Write the equation with the following roots, then draw a rough sketch of the graph.
a < 0; x = 2, -1,
a > 0; x = 0, 6 (double root),

9. Answers

10. Answers

11. Write the polynomial equation with the following roots.
x = 2 (double root)
x = 0 (triple root), 2, -3
x =

12. Answers .

13. Answers .

14. Answers .

15. Find the roots/zeros of the following polynomials by using any algebraic method.

16. Answers
x = ±

17. Find the roots/zeros of the following polynomials by using any algebraic method.

18. Answers
x = 0, x = -3/2, x = 5/2

19. List all the possible rational roots
List all the possible rational roots. Then find the roots/zeros of the following polynomials by using any algebraic method. .

20. Answers
P/q : ±1, ±3, ±1/2, ±3/2
x =

21. List all the possible rational roots
List all the possible rational roots. Then find the roots/zeros of the following polynomials by using any algebraic method. .

22. Answers p/q = ±1, ±2, ±3, ±4, ±6, ±8, ±9, ±12, ±18, ±24, ±36, ±72
x = -2, x = -4, x = -3, x = 3

23. List all the possible rational roots
List all the possible rational roots. Then find the roots/zeros of the following polynomials by using any algebraic method. .

24. Answers
p/q = ±1, ±2, ±3, ±4, ±6, ±12, ±1/2, ±3/2
x = 3, x = ½, x = -4

25. Find the roots/zeros of the following polynomials by using a graphing calculator.

26. Answers
x = , x = .695, x = 3.465

27. Given one for the factors, find all the factors of f.

28. Answers

29. Fill in the following information given the graph below.
Zeros:
Relative Maximums:
Relative Minimums:
Increasing:
Decreasing:

30. Fill in the following information given the graph below.
ANSWERS MAY VARY
Zeros: (-2.2, 0)
Rel Max: (1,-2)
Rel Min: (-1, -6)
Inc: (-1,1)
Dec: (-∞,-1)U(1,∞)

31. Determine the following information using a graphing calculator.
Zeros:
Relative Maximums:
Relative Minimums:
Increasing:
Decreasing:

32. Determine the following information using a graphing calculator.
Zeros: (.860, 0) and (3.968,0)
Relative Maximums: none
Relative Minimums: (3,-25)
Increasing: (3, ∞)
Decreasing: (- ∞ , 3)

33. Determine the following information using a graphing calculator.
Zeros:
Relative Maximums:
Relative Minimums:
Increasing:
Decreasing:

34. Determine the following information using a graphing calculator.
Zeros: (-2.321,0), (-1,0), (2.423,0)
Rel Max: (-.339,3.449), (1.867,15.629)
Rel Min: (-1.867,-9.629), (.339,2.551)
Inc: (-1.867,-.339)U(.339,1.867)
Dec:
(-∞,-1.867)U(-.339,.339)U(1.867,∞)