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1. |
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. |
3 |
B. |
0 |
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C. |
2 |
D. |
1 |
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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, 1, -1 |
B. |
2i, -2i, 2, -2 |
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C. |
i, -i, 2, -2 |
D. |
i, -i, 1, -1 |
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Hint |
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3. |
If you solve x2 - 8x - 20 = 0 by the method of completing the square, add 20 to each side and then ____. |
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A. |
add 16 to each side |
B. |
add 8 to each side |
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C. |
add 4 to each side |
D. |
add 32 to each side |
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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. |
1  i |
B. |
 i |
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C. |
 i |
D. |
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 not a factor of the polynomial. |
B. |
x - 6 is 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. |
Find the value of k so that the remainder of (x3 - 3x2 + kx - 6) ÷ (x + 2) is 0. |
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A. |
k = -13 |
B. |
k = -11 |
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C. |
k = 6 |
D. |
k = 11 |
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Hint |
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7. |
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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8. |
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. |
exactly 1 positive real zero |
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C. |
4 or 2 or 0 positive real zeros |
D. |
no positive real zeros |
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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 -3 and -2 and between 2 and 3 |
B. |
between -4 and -3 and between 3 and 4 |
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C. |
between -2 and -1 and between 2 and 3 |
D. |
between -3 and -2 and between 5 and 6 |
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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. |
1.2 |
B. |
1.4, 2.1, and 3.2 |
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C. |
1.6 |
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. |
4 |
B. |
-10 |
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C. |
-6 |
D. |
8 |
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Hint |
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14. |
Solve   4. |
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A. |
x 0 |
B. |
none of these |
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C. |
x  8 |
D. |
0 x 8 |
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Hint |
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15. |
How many direction changes are there in the graph of a linear equation? |
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A. |
2 |
B. |
0 |
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C. |
3 |
D. |
1 |
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Hint |
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16. |
How many direction changes are there in the graph of a quartic function? |
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A. |
0 |
B. |
2 |
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C. |
3 |
D. |
1 |
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Hint |
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