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1. |
What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3i? |
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A. |
y = x3 - 2x2 - 9x + 18 |
B. |
y = x2 - 5x - 6 |
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C. |
y = x3 - 2x2 + 9x - 18 |
D. |
y = x2 + x - 6 |
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Hint |
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2. |
Find an equation of the circle passing through A(2, 4), B(-2, 6), and
O(0,0). |
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A. |
x2 + y2 = 40 |
B. |
(x - 2)2 + (y - 4)2 = 20 |
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C. |
(x - 3)2 + (y + 6)2 = 32 |
D. |
(x + 1)2 + (y - 3)2 = 10 |
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Hint |
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3. |
The center of the circle with equation (x + 4)2 + (y + 15) 2 = 49 has coordinates ________. |
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A. |
(4, 15) |
B. |
(-4, 15) |
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C. |
(4, -15) |
D. |
(-4, -15) |
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Hint |
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4. |
Find the diameter of the circle with equation (x + 8) 2 + (y - 9) 2 = 121. |
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A. |
17 |
B. |
11 |
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C. |
121 |
D. |
22 |
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Hint |
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5. |
Find an equation of the circle passing through U(-3, -1), V(3, 5), and
W(9, 3). |
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A. |
(x - 4) 2 + (y + 2) 2 = 50 |
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B. |
(x - 3) 2 + (y - 3) 2 = 90 |
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C. |
x2 + y2 = 10 |
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D. |
(x + 1) 2 + (y - 4) 2 = 25 |
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Hint |
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