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1. |
Write a polynomial equation of least degree with roots -1, 2i, and -2i. |
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A. |
x3 - x2 + 4x + 4 = 0 |
B. |
x3 + x2 - 4x + 4 = 0 |
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C. |
3x + x2 + 4x - 4 = 0 |
D. |
x3 + x2 + 4x + 4 = 0 |
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Hint |
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2. |
In the equation x3 + x2 + 4x + 4 = 0, how many times does the graph of the related function cross the x-axis? |
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A. |
3 |
B. |
2 |
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C. |
0 |
D. |
1 |
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Hint |
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3. |
The equation x2 + x - 1 = 0 cannot be solved by ____. |
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A. |
using the quadratic formula |
B. |
graphing |
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C. |
factoring |
D. |
completing the square |
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Hint |
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4. |
Find the discriminant of x2 - 2x + 20 = 0. |
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A. |
76 |
B. |
72 |
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C. |
-76 |
D. |
-72 |
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Hint |
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5. |
Divide x4 + 2x2 - 1 by x - 1 using synthetic division. The result of synthetic division is ____. |
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A. |
1 1 3 3 | 2 |
B. |
1 3 1 3 | 2 |
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C. |
1 1 3 3 | -2 |
D. |
1 3 1 3 | -2 |
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Hint |
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6. |
If you divide a polynomial by the factor x + 6 and a remainder of zero results, which conclusion is true? |
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A. |
x - 6 is a factor of the polynomial. |
B. |
x + 6 is a factor of the polynomial. |
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C. |
x + 6 is not a factor of the polynomial. |
D. |
x - 6 is not a factor of the polynomial. |
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Hint |
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7. |
Find the roots of x3 + 2x + 3 = 0. |
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A. |
 |
B. |
-1, 2 |
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C. |
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D. |
1, -2 |
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Hint |
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8. |
Find the rational zeros of the equation 2x4 - x3 - 21x2 + 9x + 27 = 0. |
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A. |
3, -3, -1,  |
B. |
3, 1, -1,  |
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C. |
3, 1, -1,  |
D. |
3, -3, -1,  |
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Hint |
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9. |
Approximate the real zeros of the function f(x) = 2x2 + 4x + 1 to the nearest tenth. |
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A. |
-1.8 and -0.2 |
B. |
-1.7 and -0.3 |
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C. |
-1.6 and -0.2 |
D. |
-1.8 and -0.4 |
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Hint |
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10. |
Determine the number of complex zeros of the function f(x) = x5 - 4x2 + 2x - 1. |
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A. |
5 |
B. |
4 |
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C. |
2 |
D. |
3 |
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Hint |
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11. |
Solve = 3. |
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A. |
-1 |
B. |
2, 3 |
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C. |
3 |
D. |
2 |
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Hint |
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12. |
Solve + < . |
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A. |
a < 0 or 0 < a < 5 |
B. |
0 < a < 5 |
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C. |
a < 0 or a > 5 |
D. |
a > 0 or 0 < a < 5 |
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Hint |
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13. |
Solve . |
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A. |
5, 1 |
B. |
2 |
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C. |
5, 2 |
D. |
5 |
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Hint |
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14. |
Solve . |
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A. |
-6 |
B. |
-10 |
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C. |
4 |
D. |
8 |
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Hint |
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15. |
How many direction changes are there in the graph of a quartic function? |
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A. |
2 |
B. |
0 |
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C. |
1 |
D. |
3 |
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Hint |
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16. |
Use the function of best fit, y = 0.9x + 1.3, to predict y when x = 5. |
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A. |
3.2 |
B. |
5.8 |
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C. |
2.3 |
D. |
6.7 |
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Hint |
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