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1. |
When x3 - 4x2 + x - 5 is divided by x - 2, the quotient is _____. |
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A. |
x2 - 2x - 3 |
B. |
-11 |
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C. |
x - 2 |
D. |
x2 - x + 25 |
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Hint |
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2. |
Approximate the real zero of g(x) = x5 - x2 - 1 to the nearest tenth. |
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A. |
0.9 |
B. |
1.0 |
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C. |
1.1 |
D. |
1.2 |
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Hint |
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3. |
Approximate the real zero of h(x) = 2x4 - 3x2 + x + 1 to the nearest tenth. |
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A. |
1.6 |
B. |
-0.3 |
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C. |
-1.3, -0.5 |
D. |
-1.5, 0.9 |
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Hint |
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4. |
One zero of p(x) = x3 - 3x2 - 6x + 8 is 1. Which of the following is another zero? |
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A. |
-1 |
B. |
1 + i |
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C. |
4 |
D. |
1 - i |
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Hint |
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5. |
Solve x4 - 5x2 + 4 = 0. |
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A. |
1, 2 |
B. |
-1, 1 |
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C. |
-1, 1, -2i, 2i |
D. |
-1, 1, -2, 2 |
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Hint |
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6. |
Find g[h(x)] if g(x) = x2 and h(x) = x + 3. |
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A. |
x3 + 3x2 |
B. |
x2 - x - 3 |
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C. |
x2 + x + 3 |
D. |
x2 + 6x + 9 |
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Hint |
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7. |
Find the inverse of the function f(x) = 2x + 3. |
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A. |
 |
B. |
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C. |
 |
D. |
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Hint |
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8. |
Which is the graph of a function and its inverse? |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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9. |
If a graph represents an odd-degree polynomial function, what must be true? |
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A. |
It must have at least three roots. |
B. |
It must pass through the x-axis. |
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C. |
It may not have any real roots. |
D. |
As ,  |
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Hint |
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10. |
If a graph represents an even-degree polynomial function, what cannot be true? |
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A. |
It could have 1 real root. |
B. |
It could be true that as , . |
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C. |
It could open downward. |
D. |
It could have a negative leading coefficient and as . |
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Hint |
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11. |
Solve x4 – 625 = 0 |
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A. |
 |
B. |
 |
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C. |
5, 5i |
D. |
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Hint |
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12. |
If a binomial x – a divides a polynomial, what must be true in order for it to be a factor of the polynomial? |
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A. |
It must divide the polynomial in half. |
B. |
There cannot be any other factor x – a. |
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C. |
The remainder must be 0. |
D. |
The polynomial must be at least of degree three. |
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Hint |
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13. |
Find all of the roots of the equation  |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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14. |
If a0 = 1 is the leading coefficient of a polynomial, which of the following cannot be a zero of the polynomial? |
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A. |
1 |
B. |
119 |
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C. |
0 |
D. |
 |
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Hint |
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15. |
List all of the possible rational zeros of the function . |
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A. |
 |
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B. |
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C. |
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D. |
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Hint |
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16. |
Let f and g be polynomials of degree 3. Is it true that ? |
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A. |
No, never. |
B. |
It is true in some cases. |
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C. |
No, it is only true for polynomials of degree 1. |
D. |
Yes, always. |
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Hint |
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17. |
Is the inverse of a quadratic function a square root function? |
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A. |
No. |
B. |
Yes. |
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C. |
It is a square root function only if it is a quadratic function that opens up. |
D. |
It is a square root function only if the range is restricted to nonnegative numbers. |
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Hint |
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18. |
Which of the following points will be included in the graph of  |
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A. |
(8, 3) |
B. |
(2, 1) |
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C. |
(4, 1) |
D. |
(11, 5) |
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Hint |
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