Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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1.
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If y varies directly with x, and the y=15 when x=24,
find x when y= 25.
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2.
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If y is inversely proportional to x, and y=6 when x=5,
find x when y=12.
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3.
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If z varies jointly as x and the square root of y, and
z=6 when x=3 and y=16, find z when x=7 and y=4.
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4.
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The electrical resistance of a wire varies directly as
its length and inversely as the square of its diameter. One hundred meters of wire with a diamter of
6 mm has a resistance of 12 ohms. Eighty meters of a second wire of the same material has a
resistance of 15 ohms. Find the diameter of the second wire. a. | 345.6 | c. | 23.04 | b. | 4.8 | d. | 4.32 | | | | |
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5.
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Divide 
by 
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6.
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Use Synthetic Divsion to divide  by  a. | | c. | 
Remainder 34 | b. | | d. |  Remainder 54 | | | | |
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7.
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Use Synthetic Division to divide  by  a. | | c. | | b. | | d. |  Remainder 5 | | | | |
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8.
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9.
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Solve  , if 
is a root for the other two roots.
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10.
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Find the cubic equation with the integer coefficients
that has 2 and 
as roots.
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11.
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Find the remaining root of a cubic polynomial if 5 and
 are two of the roots.
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12.
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Find the
remaining root of a cubic polynomial if 
and  are two of the roots
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13.
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How many roots does the following equation
have?
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14.
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Use Descartes Rule of Signs to determine how many
Positive Real Roots does the following Polynomial have?
a. | 1 | c. | 2 or
0 | b. | 3 or
1 | d. | 5, 3, or
1 | | | | |
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15.
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Use Descartes Rule of Signs to determine how many
Negative Real Roots does the following Polynomial have?
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16.
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Use Descartes
Rule of Signs to determine how many Complex Roots does the following Polynomial
have?
a. | 0 | c. | 0, or 2, or
4 | b. | 0 or 2
| d. | 3 or
1 | | | | |
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17.
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List all of the possible rational roots of the
polynomial:
a. | | c. | | b. |  ,
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18.
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List all of the actual rational roots of the
polynomial:
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19.
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Use synthetic division to find the value of P(2) for
the polynomial: 
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20.
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Alg2_8_5_pg.375 #1-8
Use synthetic division to find the value of P(4) for
the polynomial: 
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