Algebra 2 – Unit 5 Polynomials Review
Name: ________________________
1. Evaluate this function for x = -2.
2. If
, find
.
.
3. What is the value of the expression
when M = 400?
4. If r = 7, b = 4, and g = -3, what does
5. If
and
, what is the value of
6. What is the value of
7. What is the value of
equal?
?
, when a = 3, and b = 5?
when
?
8. The height h, of a projectile, in feet above the ground, is given by the function
represents time, in seconds. How many feet above the ground is the projectile when t = 4?
9. Completely simplify the expression
10.
.
is equivalent to:
11. Write the expression of the completely simplified form of
12. Write the expression equivalent to
.
where t
13. Write the expression equivalent to
14. Write an equivalent form of this expression.
.
15. Simplify this expression:
.
16.
is equivalent to:
17. Find an expression equivalent to
18. The expression
19.
is equivalent to:
is equivalent to what expression?
20. The expression given below is equivalent to what expression?
21. The expression
22. The sum of
is equivalent to:
and which polynomial is
?
23. Bill and Joe answered the same homework question with different, yet equivalent, expressions. Bill’s
expression was
. Joe said his expression was a simplified form of Bill’s. Write Joe’s expression.
24. Perform the following polynomial division.
25. Perform the following polynomial division.
26. Use the Remainder Theorem to find the remainder for the division
.
27. Use the Remainder Theorem to find the remainder for the division
.
28. Is
a factor of
29. Is
a factor of
?
?
30. What is the complete factored form of
a. (x-1)(x-2)(x+3)
?
b. (x+1)(x-2)(x+3)
31. Given functions
c. (x+1)(x-2)(x-3)
and
, what is
32. What is the square of the complex number
?
33. Which of the following is NOT a real number?
a.
b.
c.
d.
e.
d. (x-1)(x-2)(x-3)
?