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1. |
When 2x3 + x2 - 3 is divided by x + 1, the remainder is _____. |
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A. |
3 |
B. |
-4 |
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C. |
0 |
D. |
-2 |
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Hint |
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2. |
Find f(x + h) for f(x) = x2 + 2x. |
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A. |
x2 + 2xh + h2 + 2x |
B. |
x2 + 2x + 2h |
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C. |
x2 + 2x + h |
D. |
x2 + 2xh + h2 + 2x + 2h |
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Hint |
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3. |
Find 4[p(x)] if p(x) = x2 - 3x + 2. |
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A. |
16x2 - 12x + 2 |
B. |
x2 - 12x + 2 |
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C. |
4x2 - 12x + 8 |
D. |
4x2 - 3x + 2 |
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Hint |
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4. |
The function whose graph is shown has _____. |
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A. |
two relative minima |
B. |
two relative maxima |
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C. |
one relative minimum |
D. |
no relative maxima |
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Hint |
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5. |
One zero of p(x) = x3 - 3x2 - 6x + 8 is 1. Which of the following is another zero? |
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A. |
1 + i |
B. |
1 - i |
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C. |
-1 |
D. |
4 |
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Hint |
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6. |
What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3i? |
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A. |
y = x2 + x - 6 |
B. |
y = x3 - 2x2 - 9x + 18 |
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C. |
y = x2 - 5x - 6 |
D. |
y = x3 - 2x2 + 9x - 18 |
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Hint |
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7. |
Find all of the rational zeros of the function p(x) = 2x3 + 3x2 - 11x - 6. |
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A. |
-3, 1 |
B. |
-6 |
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C. |
-3, 2 |
D. |
 |
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Hint |
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8. |
Find consecutive values of x between which each real zero of the function  is located. |
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A. |
–1 and 0, 0 and 1 |
B. |
–1 and 0, 1 and 2 |
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C. |
0 and 1, 1 and 2 |
D. |
–1 and 0, 0 and 1, and 1 and 2 |
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Hint |
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9. |
Write the expression  in quadratic form. |
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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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10. |
Which expression cannot be written in quadratic form? |
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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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11. |
What must be true in order for a term x – a to be a factor of a polynomial f(x)? |
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A. |
f(a) must be negative |
B. |
a must be positive |
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C. |
f(a) = 0 |
D. |
f(a) must be positive |
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Hint |
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12. |
Find all zeros of  . |
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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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13. |
Given  and  , what is  ? |
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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. |
Given that  and  , find  . |
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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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15. |
Find the inverse of f(x) =  x – 3. |
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A. |
g(x) = x + 12 |
B. |
g (x) = 4x + 3 |
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C. |
g(x) = 4x + 12 |
D. |
g(x) = x + 3 |
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Hint |
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16. |
Which of the following is an inverse of f(x) = 3x - 4? |
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A. |
3x + 4 |
B. |
 |
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C. |
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D. |
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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. |
Yes. |
B. |
No. |
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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. |
(2, 1) |
B. |
(8, 3) |
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C. |
(11, 5) |
D. |
(4, 1) |
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Hint |
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