| |
| |
1. |
When 2x3 + x2 - 3 is divided by x + 1, the remainder is _____. |
| |
|
A. |
3 |
B. |
-4 |
| |
|
C. |
0 |
D. |
-2 |
| |
|
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. |
Find 4[p(x)] if p(x) = x2 - 3x + 2. |
| |
|
A. |
16x2 - 12x + 2 |
B. |
4x2 - 12x + 8 |
| |
|
C. |
x2 - 12x + 2 |
D. |
4x2 - 3x + 2 |
| |
|
Hint |
|
| |
4. |
One zero of p(x) = x3 - 3x2 - 6x + 8 is 1. Which of the following is another zero? |
| |
|
A. |
-1 |
B. |
4 |
| |
|
C. |
1 - i |
D. |
1 + i |
| |
|
Hint |
|
| |
5. |
Find g[f(-2)], if f(x) = x2 and g(x) = 3x – 5. |
| |
|
A. |
-44 |
B. |
7 |
| |
|
C. |
-17 |
D. |
-7 |
| |
|
Hint |
|
| |
6. |
Which is the inverse of the relation {(1, -3), (3, 5), (6, -2)}? |
| |
|
A. |
{(1, 5), (3, -2), (6, -3)} |
B. |
{(1, -3), (3, 5), (6, -2)} |
| |
|
C. |
{(1, -2), (3, 8), (6, 4)} |
D. |
{(-3, 1), (5, 3), (-2, 6)} |
| |
|
Hint |
|
| |
7. |
Find consecutive values of x between which each real zero of the function  is located. |
| |
|
A. |
3 and 4 |
B. |
–5 and –4 |
| |
|
C. |
–3 and –4 |
D. |
no solution |
| |
|
Hint |
|
| |
8. |
What is the maximum number of turning points of a polynomial of degree 6? |
| |
|
A. |
5 |
B. |
cannot be determined from given information. |
| |
|
C. |
7 |
D. |
6 |
| |
|
Hint |
|
| |
9. |
Solve x4 – 625 = 0 |
| |
|
A. |
 |
B. |
5, 5i |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Solve  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
1, 11.31 |
D. |
1, 1.22 |
| |
|
Hint |
|
| |
11. |
What must be true in order for a term x – a to be a factor of a polynomial f(x)? |
| |
|
A. |
f(a) must be negative |
B. |
a must be positive |
| |
|
C. |
f(a) must be positive |
D. |
f(a) = 0 |
| |
|
Hint |
|
| |
12. |
Find all the zeros of  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Which of the following cannot be a rational root of  , according to the Rational Zero Theorem? |
| |
|
A. |
2 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Which of the following is a zero of the polynomial  |
| |
|
A. |
6 |
B. |
|
| |
|
C. |
|
D. |
 |
| |
|
Hint |
|
| |
15. |
If f(7) = 12 and g(2) = 7, then what is the value of  ? |
| |
|
A. |
12 |
B. |
2 |
| |
|
C. |
7 |
D. |
84 |
| |
|
Hint |
|
| |
16. |
If two functions f and g are inverse relations, which of the following points must be on graph g if it is on graph f ? |
| |
|
A. |
Cannot be determined from given information. |
B. |
(-1, 1) |
| |
|
C. |
(1, 1) |
D. |
(2, -2) |
| |
|
Hint |
|
| |
17. |
Find the x- and y-intercepts of  . |
| |
|
A. |
x: no intercept, y: |
B. |
x:, y: no intercept |
| |
|
C. |
x: 7, y:  |
D. |
x:, y: |
| |
|
Hint |
|
| |
18. |
Which of the following points will be included in the graph of  |
| |
|
A. |
(4, 1) |
B. |
(11, 5) |
| |
|
C. |
(8, 3) |
D. |
(2, 1) |
| |
|
Hint |
|
|
|