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1. |
Ten years ago, Mary invested $2500. Four years later, she invested $3000. Set up an equation that determines the current value of the two investments T(x) if each earns 10% annual interest per year. |
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A. |
T(x) = 3000(1.0)10 +
2500(1.1)4 |
B. |
T(x) = 2500(1.1)10 +
3000(1.1)4 |
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C. |
T(x) = 3000(1.0)10 +
2500(1.1)6 |
D. |
T(x) = 2500(1.1)10 +
3000(1.1)6 |
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Hint |
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2. |
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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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 32 to each side |
B. |
add 8 to each side |
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C. |
add 16 to each side |
D. |
add 4 to each side |
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Hint |
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4. |
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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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 not a factor of the polynomial. |
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C. |
x + 6 is a factor of the polynomial. |
D. |
x - 6 is a factor of the polynomial. |
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Hint |
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6. |
Use the Remainder Theorem to find the remainder for the division of
(x4 - 3x2 + 2x - 1) ÷ (x - 1). The remainder is ____. |
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A. |
2 |
B. |
0 |
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C. |
-1 |
D. |
1 |
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Hint |
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7. |
Find the number of positive real zeros for
f(x) = 3x5 + 2x3 + x2 + 7x - 1 = 0. |
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A. |
no positive real zeros |
B. |
exactly 1 positive real zero |
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C. |
4 or 2 or 0 positive real zeros |
D. |
4 or 2 positive real zeros |
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Hint |
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8. |
In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. |
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A. |
there is one imaginary root |
B. |
there could be one or three positive real zeros |
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C. |
none of the above is correct |
D. |
there is exactly one positive real zero |
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Hint |
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9. |
Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth. |
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A. |
1.6 |
B. |
1.2 |
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C. |
1.4 |
D. |
1.4, 2.1, and 3.2 |
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Hint |
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10. |
Approximate the real zeros of the function f(x) = 2x2 + 4x + 1 to the nearest tenth. |
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A. |
-1.7 and -0.3 |
B. |
-1.6 and -0.2 |
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C. |
-1.8 and -0.4 |
D. |
-1.8 and -0.2 |
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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. |
8 |
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C. |
4 |
D. |
-6 |
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Hint |
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14. |
Solve  . |
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A. |
3 |
B. |
1 |
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C. |
0 |
D. |
2 |
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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. |
2 |
D. |
1 |
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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. |
1.3x - 0.9 |
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C. |
0.9x + 1.3 |
D. |
1.3x + 0.9 |
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Hint |
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