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1. |
What is the degree of the polynomial p(x) = 2x5 - 6x4 + 2x2 + 7x - 9? |
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A. |
5 |
B. |
3 |
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C. |
2 |
D. |
4 |
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Hint |
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2. |
One of the factors of x3 - 7x + 6 is x - 1. Which of the following is one of the other factors? |
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A. |
x - 6 |
B. |
x - 3 |
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C. |
x - 2 |
D. |
x + 1 |
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Hint |
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3. |
The function whose graph is shown has _____. |
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A. |
one relative minimum |
B. |
two relative maxima |
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C. |
two relative minima |
D. |
no relative maxima |
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Hint |
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4. |
One zero of h(x) = x3 - 3x2 + x + 5 is 2 - i. Which of the following is another zero? |
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A. |
1 - 2i |
B. |
2 + i |
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C. |
1 - i |
D. |
1 |
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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 |
B. |
1 - i |
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C. |
4 |
D. |
1 + i |
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Hint |
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6. |
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. |
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D. |
-3, 2 |
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Hint |
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7. |
What are all of the rational zeros of the function
q(x) = x4 - x3 + 4x2 - 4x? |
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A. |
0, -2 |
B. |
0, 1, ±2 |
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C. |
0, 1 |
D. |
0 |
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Hint |
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8. |
Which equation is in quadratic form? |
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A. |
 |
B. |
 |
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C. |
3x3 + 3x + 3 = 0 |
D. |
x4 - x2 + x - 1 = 0 |
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Hint |
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9. |
Solve y4 - 18y2 + 81 = 0. |
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A. |
3, 3i |
B. |
3 |
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C. |
-3, 3, -3i, 3i |
D. |
-3, 3 |
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Hint |
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10. |
Find  if g(x) = x - 5 and h(x) = |x|. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
Which is the inverse of the relation {(1, -3), (3, 5), (6, -2)}? |
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A. |
{(1, -2), (3, 8), (6, 4)} |
B. |
{(1, 5), (3, -2), (6, -3)} |
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C. |
{(-3, 1), (5, 3), (-2, 6)} |
D. |
{(1, -3), (3, 5), (6, -2)} |
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Hint |
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12. |
If a graph represents an odd-degree polynomial function, what must be true? |
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A. |
It must pass through the x-axis. |
B. |
It must have at least three roots. |
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C. |
It may not have any real roots. |
D. |
As  ,  |
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Hint |
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13. |
Find consecutive values of x between which each real zero of the function  is located. |
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A. |
3 and 4 |
B. |
no solution |
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C. |
–3 and –4 |
D. |
–5 and –4 |
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Hint |
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14. |
The volume of a refrigerator is  . Its height is x + 2. What are the other two dimensions? |
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A. |
x – 3 and x + 2 |
B. |
x + 6 and x – 1 |
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C. |
x – 2 and x + 3 |
D. |
x – 6 and x + 1 |
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Hint |
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15. |
Let f and g be polynomials of degree 3. Is it true that  ? |
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A. |
Yes, always. |
B. |
No, it is only true for polynomials of degree 1. |
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C. |
It is true in some cases. |
D. |
No, never. |
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Hint |
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16. |
Given that f(x) and g(x) are inverses, which of the following is true? |
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A. |
 is undefined |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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17. |
A square root function,  , can be used to represent income made on an investment, with x being the amount originally spent, and f(x) being the profit. How much money would have to be spent in order to make $50? |
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A. |
$7.91 |
B. |
$2000 |
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C. |
$20 |
D. |
$2050 |
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Hint |
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18. |
The amount of money spent at a grocery store can be expressed as a square root function,  , where x is the number of groceries, and f(x) is the amount of money spent. If Eugene buys 12 items, how much money should he expect to spend? |
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A. |
$20 |
B. |
$13 |
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C. |
$169 |
D. |
$9.92 |
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Hint |
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