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1.
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Complete the table. 
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2.
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Which is a graph of an even function with a positive leading
coefficient?
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3.
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Given  , which of the following is true?
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4.
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Which is the graph of the polynomial function  ?
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5.
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Subtract.  – 
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6.
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Multiply. 
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7.
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Write an equivalent expression for  .
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8.
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Use Pascal’s Triangle to expand the expression  .
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9.
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Divide  by  .
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10.
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Which divisor of  results in a remainder of 86?
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11.
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Which of the following is a factor of  ?
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12.
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Factor  .
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13.
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Factor the polynomial  completely.
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14.
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Solve the polynomial equation  by factoring. a. | The roots are 0, –1, and –6. | c. | The roots are 2 and
12. | b. | The roots are 0, 1, and 6. | d. | The roots are –1 and –6. |
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15.
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Which is a list of all the possible rational roots of  ?
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16.
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What is the degree of the simplest polynomial with integer coefficients that has
 , 2,  , and  as some of its zeros?
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17.
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Use the corollary of the fundamental theorem of algebra to find the number of
complex roots for each polynomial. | a.
|  | 1 | 2 | 3 | 4 | | b. |  | 1 | 2 | 3 | 4 | | c. |  | 1 | 2 | 3 | 4 | | d. |  | 1 | 2 | 3 | 4 | | | | | | |
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18.
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How can you write  as the difference of two squares?
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19.
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Describe the transformation of  represented by  . a. | The graph of g is a horizontal stretch by a factor of 2 and a translation 3
units right and 3 units up of the graph of f. | b. | The graph of g is a vertical stretch by
a factor of 2 and a translation 3 units left and 3 units up of the graph of f.
| c. | The graph of g is a vertical shrink by a factor of  and a
translation 3 units right and 3 units up of the graph of f. | d. | The graph of
g is a vertical stretch by a factor of 2 and a translation 3 units right and 3 units up of the
graph of f. |
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20.
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Write a function that transforms  in the following
way: vertical stretch by a factor of 4 and shift 4 units left.
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21.
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Which of the following polynomial functions could have the graph
shown? 
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22.
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Explain how you can use transformations to determine whether the function  is even, odd, or neither.
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23.
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In the table, x represents the number of years a company has been in
business and y represents the number of employees that the company has. Find a polynomial
model for the data. Use the model to estimate the number of employees in year 9. | x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | y | 18 | 28 | 32 | 34 | 36 | 45 | 55 | 65 | | | | | | | | | |
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