Multiple Choice
Identify the choice that best completes the
statement or answers the question.
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1.
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Identify the degree of the monomial  .
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2.
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Rewrite the polynomial 12x2 + 6 –
7x5 + 3x3 + 7x4 – 5x in standard
form. Then, identify the leading coefficient, degree, and number of terms. Name the
polynomial.
a. | 
leading coefficient: –7; degree: 5; number of
terms: 6; name: quintic polynomial | b. | 
leading coefficient: 6; degree: 0;
number of terms: 6; name: quintic polynomial | c. | 
leading coefficient: 6; degree: 0;
number of terms: 6; name: quintic polynomial | d. | 
leading coefficient: –7;
degree: 5; number of terms: 6; name: quintic polynomial |
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3.
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Add. Write your answer in standard form. 
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4.
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Find the product  .
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5.
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Find the product  .
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6.
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Find the product  .
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7.
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Use Pascal’s Triangle to expand the expression  .
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8.
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Divide by using long division:  .
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9.
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Divide by using synthetic division. 
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10.
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Use synthetic substitution to evaluate the polynomial  for  .
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11.
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Determine whether the binomial (  ) is a factor of the polynomial  . a. | ( ) is not a factor of the polynomial  . | b. | ( ) is a factor of the polynomial  . | c. | Cannot determine. |
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12.
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Factor  .
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13.
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Factor the expression  .
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14.
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Solve the polynomial equation  by factoring. a. | The roots are –6 and 4. | c. | The roots are 0, 6, and
–4. | b. | The roots are 0, –6, and 4. | d. | The roots are –18 and
12. |
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15.
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Solve  by finding all roots.
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16.
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Identify the leading coefficient, degree, and end behavior of the function 
–5   – 6   + 6.
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17.
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Identify whether the function graphed has an odd or even degree and a positive
or negative leading coefficient.  a. | The degree is odd, and the leading coefficient is negative. | b. | The degree is even,
and the leading coefficient is negative. | c. | The degree is even, and the leading coefficient
is positive. | d. | The degree is odd, and the leading coefficient is
positive. |
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18.
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Use finite differences to determine the degree of the polynomial that best
describes the data. x | –3 | –1 | 1 | 3 | 5 | 7 | y | –12 | –7 | –21 | –51 | –93 | –142 | | | | | | | |
a. | The fourth differences are constant. A quartic polynomial best describes the
data. | b. | The third differences are constant. A cubic polynomial best describes the
data. | c. | The fifth differences are constant. A quintic polynomial best describes the
data. | d. | None of the differences is constant. |
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19.
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The table shows the population of endangered tigers from year 0 (when the study
began) to year 20. Write a polynomial function for the data. | Year | 0 | 5 | 10 | 15 | 20 | | Population | 280 | 437 | 571 | 781 | 1164 | | | | | | |
a. |  | b. | No polynomial function models the
data. | c. |  | d. |  |
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20.
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What quartic function does the graph represent? 
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