| |
| |
1. |
When x3 - 4x2 + x - 5 is divided by x - 2, the quotient is _____. |
| |
|
A. |
x2 - 2x - 3 |
B. |
x - 2 |
| |
|
C. |
x2 - x + 25 |
D. |
-11 |
| |
|
Hint |
|
| |
2. |
Find f(x + h) for f(x) = x2 + 2x. |
| |
|
A. |
x2 + 2x + 2h |
B. |
x2 + 2x + h |
| |
|
C. |
x2 + 2xh + h2 + 2x + 2h |
D. |
x2 + 2xh + h2 + 2x |
| |
|
Hint |
|
| |
3. |
The function whose graph is shown has _____. |
| |
|
 |
| |
|
A. |
one relative minimum |
B. |
two relative maxima |
| |
|
C. |
no relative maxima |
D. |
two relative minima |
| |
|
Hint |
|
| |
4. |
What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3i? |
| |
|
A. |
y = x3 - 2x2 - 9x + 18 |
B. |
y = x2 - 5x - 6 |
| |
|
C. |
y = x3 - 2x2 + 9x - 18 |
D. |
y = x2 + x - 6 |
| |
|
Hint |
|
| |
5. |
Which is not a root of z3 + 8 = 0? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
-2 |
D. |
2 |
| |
|
Hint |
|
| |
6. |
Solve  . |
| |
|
A. |
4 |
B. |
16 |
| |
|
C. |
4, 16 |
D. |
-4, 2 |
| |
|
Hint |
|
| |
7. |
Find  if g(x) = x - 5 and h(x) = |x|. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Determine the inverse of the function  |
| |
|
A. |
2x - 2 |
B. |
2x + 2 |
| |
|
C. |
x + 2 |
D. |
2x + 1 |
| |
|
Hint |
|
| |
9. |
Which of the following is a polynomial in one variable? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Which graph best represents the function  ? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Solve  |
| |
|
A. |
 |
B. |
1, 11.31 |
| |
|
C. |
 |
D. |
1, 1.22 |
| |
|
Hint |
|
| |
12. |
If a binomial x – a divides a polynomial, what must be true in order for it to be a factor of the polynomial? |
| |
|
A. |
The remainder must be 0. |
B. |
There cannot be any other factor x – a. |
| |
|
C. |
The polynomial must be at least of degree three. |
D. |
It must divide the polynomial in half. |
| |
|
Hint |
|
| |
13. |
Find all zeros of  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Which of the following is a zero of the polynomial  |
| |
|
A. |
 |
B. |
6 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Let f and g be polynomials of degree 3. Is it true that  ? |
| |
|
A. |
It is true in some cases. |
B. |
Yes, always. |
| |
|
C. |
No, never. |
D. |
No, it is only true for polynomials of degree 1. |
| |
|
Hint |
|
| |
16. |
Find the inverse of f(x) =  x – 3. |
| |
|
A. |
g (x) = 4x + 3 |
B. |
g(x) = x + 12 |
| |
|
C. |
g(x) = 4x + 12 |
D. |
g(x) = x + 3 |
| |
|
Hint |
|
| |
17. |
What are the x- and y-intercepts of  ? |
| |
|
A. |
x: , y: –5 |
B. |
x: –5, y: |
| |
|
C. |
x: 5, y: |
D. |
x: no intercept, y: |
| |
|
Hint |
|
| |
18. |
Which of the following points will be included in the graph of  |
| |
|
A. |
(11, 5) |
B. |
(4, 1) |
| |
|
C. |
(8, 3) |
D. |
(2, 1) |
| |
|
Hint |
|
|
|