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1. |
List the possible rational roots of 3x3 + 5x2 - 2x + 1 = 0. |
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A. |
,  |
B. |
1,  |
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C. |
,  |
D. |
1,  |
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Hint |
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2. |
Find the roots of x3 + 2x + 3 = 0. |
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A. |
 |
B. |
1, -2 |
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C. |
-1, 2 |
D. |
 |
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Hint |
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3. |
Find the number of positive real zeros for f(x) = 3x5 + 2x3 + x2 + 7x - 1 = 0. |
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A. |
4 or 2 positive real zeros |
B. |
4 or 2 or 0 positive real zeros |
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C. |
exactly 1 positive real zero |
D. |
no positive real zeros |
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Hint |
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4. |
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, -3, -1,  |
D. |
3, 1, -1,  |
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Hint |
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5. |
In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. |
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A. |
there could be one or three positive real zeros |
B. |
none of the above is correct |
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C. |
there is one imaginary root |
D. |
there is exactly one positive real zero |
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Hint |
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