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1. |
State the degree of the polynomial function f(x) = x4 - 2x2 + 3x - 1. |
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A. |
4 |
B. |
2 |
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C. |
5 |
D. |
3 |
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Hint |
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2. |
Find the roots of the equation x4 - 3x2 - 4 = 0. |
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A. |
2i, -2i, 2, -2 |
B. |
2i, -2i, 1, -1 |
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C. |
i, -i, 1, -1 |
D. |
i, -i, 2, -2 |
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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. |
completing the square |
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C. |
factoring |
D. |
graphing |
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Hint |
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4. |
Solve the equation 2x2 -x + 4 = 0 by any method. |
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A. |
 i |
B. |
i |
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C. |
 i |
D. |
1  i |
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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 not a factor of the polynomial. |
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C. |
x - 6 is 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 - 5 |
B. |
x + 1, x - 1, and x - 4 |
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C. |
x + 1, x - 1, and x - 6 |
D. |
x - 1, x + 1, and x - 3 |
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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. |
1,  |
B. |
1,  |
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C. |
 , |
D. |
, |
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Hint |
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8. |
Find the roots of x3 + 2x + 3 = 0. |
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A. |
-1, 2 |
B. |
1, -2 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Determine between which consecutive integers the real zeros of
f(x) = x4 - 4x2 + x - 3 are located. |
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A. |
between -2 and -1 and between 2 and 3 |
B. |
between -4 and -3 and between 3 and 4 |
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C. |
between -3 and -2 and between 5 and 6 |
D. |
between -3 and -2 and between 2 and 3 |
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Hint |
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10. |
Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth. |
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A. |
1.6 |
B. |
1.4, 2.1, and 3.2 |
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C. |
1.2 |
D. |
1.4 |
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Hint |
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11. |
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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12. |
Solve  - x + 1 = 0. |
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A. |
1, -2 |
B. |
-1, 2 |
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C. |
-1, -2 |
D. |
1, 2 |
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Hint |
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13. |
Solve  . |
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A. |
-10 |
B. |
4 |
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C. |
8 |
D. |
-6 |
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Hint |
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14. |
Solve  . |
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A. |
0 |
B. |
1 |
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C. |
3 |
D. |
2 |
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Hint |
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15. |
Determine the type of polynomial function that could be used to represent the data in the following scatter plot. |
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A. |
linear |
B. |
cubic |
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C. |
quartic |
D. |
quadratic |
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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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