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1. |
What is the degree of the polynomial p(x) = 2x5 - 6x4 + 2x2 + 7x - 9? |
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A. |
5 |
B. |
3 |
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C. |
4 |
D. |
2 |
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Hint |
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2. |
When x3 - 4x2 + x - 5 is divided by x - 2, the quotient is _____. |
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A. |
-11 |
B. |
x2 - 2x - 3 |
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C. |
x2 - x + 25 |
D. |
x - 2 |
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Hint |
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3. |
Find 4[p(x)] if p(x) = x2 - 3x + 2. |
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A. |
x2 - 12x + 2 |
B. |
16x2 - 12x + 2 |
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C. |
4x2 - 3x + 2 |
D. |
4x2 - 12x + 8 |
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Hint |
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4. |
One zero of h(x) = x3 - 3x2 + x + 5 is 2 - i. Which of the following is another zero? |
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A. |
1 - i |
B. |
1 |
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C. |
1 - 2i |
D. |
2 + i |
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Hint |
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5. |
Which is not a possible rational zero of the function
g(x) = 3x3 + 2x2 - 7x - 6? |
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A. |
 |
B. |
 |
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C. |
-3 |
D. |
 |
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Hint |
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6. |
Find the inverse of the function f(x) = 2x + 3. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
Which pair of functions are inverses? |
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A. |
f(x) = 4x, g(x) = -4x |
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B. |
 |
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C. |
f(x) = 2x + 1,
g(x) = 2x - 1 |
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D. |
 |
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Hint |
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8. |
Graph  . Then estimate the coordinates at which the relative maxima and relative minima occur. |
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A. |
minimum: 1, maximum: –3 |
B. |
minimum: 1,maximum: –5 |
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C. |
minimum: –3,maximum: 1 |
D. |
minimum: –5,maximum: 1 |
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Hint |
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9. |
Find consecutive values of x between which each real zero of the function  is located. |
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A. |
–1 and 0, 0 and 1, and 1 and 2 |
B. |
0 and 1, 1 and 2 |
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C. |
–1 and 0, 1 and 2 |
D. |
–1 and 0, 0 and 1 |
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Hint |
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10. |
Solve x4 – 625 = 0 |
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A. |
 |
B. |
 |
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C. |
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D. |
5, 5i |
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Hint |
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11. |
Which expression cannot be written in quadratic form? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
What is the height of a computer whose base is x2 + 4x + 4 and whose volume is x3 + 3x2 – 4? |
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A. |
x + 1 |
B. |
(x – 1)( x + 2) |
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C. |
x + 2 |
D. |
x – 1 |
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Hint |
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13. |
Find all the zeros of  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
If a0 = 1 is the leading coefficient of a polynomial, which of the following cannot be a zero of the polynomial? |
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A. |
119 |
B. |
0 |
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C. |
1 |
D. |
 |
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Hint |
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15. |
Given that  and  , find  |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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16. |
Let f and g be polynomials of degree 3. Is it true that  ? |
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A. |
Yes, always. |
B. |
No, never. |
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C. |
No, it is only true for polynomials of degree 1. |
D. |
It is true in some cases. |
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Hint |
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17. |
What are the x- and y-intercepts of  ? |
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A. |
x: –5, y: |
B. |
x:, y: –5 |
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C. |
x: no intercept, y: |
D. |
x: 5, y: |
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Hint |
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18. |
What is the domain and range of  ? |
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A. |
D: 
R:  |
B. |
D: 
R:  |
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C. |
D:
R: |
D. |
D:
R: |
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Hint |
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