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1. |
State the degree of the polynomial function f(x) = x4 - 2x2 + 3x - 1. |
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A. |
2 |
B. |
5 |
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C. |
3 |
D. |
4 |
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Hint |
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2. |
Write a polynomial equation of least degree with roots -1, 2i, and -2i. |
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A. |
x3 + x2 - 4x + 4 = 0 |
B. |
3x + x2 + 4x - 4 = 0 |
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C. |
x3 - x2 + 4x + 4 = 0 |
D. |
x3 + x2 + 4x + 4 = 0 |
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Hint |
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3. |
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. |
0 |
B. |
1 |
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C. |
2 |
D. |
3 |
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Hint |
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4. |
State the number of complex roots of the equation x4 - 3x2 - 4 = 0. |
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A. |
4 |
B. |
1 |
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C. |
2 |
D. |
3 |
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Hint |
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5. |
Find the roots of the equation x4 - 3x2 - 4 = 0. |
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A. |
2i, -2i, 1, -1 |
B. |
i, -i, 2, -2 |
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C. |
i, -i, 1, -1 |
D. |
2i, -2i, 2, -2 |
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Hint |
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