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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. |
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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2. |
State the number of complex roots of the equation x4 - 3x2 - 4 = 0. |
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A. |
2 |
B. |
3 |
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C. |
1 |
D. |
4 |
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Hint |
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3. |
The factors of x2 - 8x - 20 = 0 are ____. |
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A. |
(x + 2) and (x + 10) |
B. |
(x - 2) and (x + 10) |
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C. |
(x - 2) and (x - 10) |
D. |
(x + 2) and (x - 10) |
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Hint |
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4. |
The equation x2 + x - 1 = 0 cannot be solved by ____. |
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A. |
factoring |
B. |
using the quadratic formula |
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C. |
completing the square |
D. |
graphing |
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Hint |
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5. |
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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6. |
Determine the binomial factors of x3 - 5x2 - x + 5 = 0. |
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A. |
x + 1, x - 1, and x - 6 |
B. |
x - 1, x + 1, and x - 3 |
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C. |
x - 1, x + 1, and x - 5 |
D. |
x + 1, x - 1, and x - 4 |
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Hint |
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7. |
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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8. |
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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9. |
Approximate the real zeros of the function f(x) = 2x2 + 4x + 1 to the nearest tenth. |
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A. |
-1.6 and -0.2 |
B. |
-1.8 and -0.4 |
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C. |
-1.8 and -0.2 |
D. |
-1.7 and -0.3 |
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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. |
4 |
B. |
2 |
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C. |
3 |
D. |
5 |
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Hint |
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11. |
Solve = 3. |
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A. |
2, 3 |
B. |
2 |
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C. |
-1 |
D. |
3 |
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Hint |
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12. |
Decompose into partial fractions. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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13. |
Solve 4. |
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A. |
x 8 |
B. |
0 x 8 |
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C. |
x 0 |
D. |
none of these |
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Hint |
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14. |
Solve the equation = y. |
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A. |
3, 9 |
B. |
None is correct. |
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C. |
-3 |
D. |
3 |
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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. |
3 |
B. |
0 |
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C. |
1 |
D. |
2 |
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Hint |
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16. |
Use a graphing calculator to write a polynomial function to model the set of data. |
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A. |
0.9x + 1.3 |
B. |
0.9x - 1.3 |
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C. |
1.3x + 0.9 |
D. |
1.3x - 0.9 |
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Hint |
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