Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which graph represents an even-degree polynomial function with a
y-intercept of 8?
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2.
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What is the restriction on x if  is divided by  ?
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3.
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What is the remainder when  is divided by  ?
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4.
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If  is divided by  , what is the remainder? A | P(x + 9) | C | P(x – 9) | B | P(9) | D | P(–9) |
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5.
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When  is divided by  , the remainder is
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6.
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Which set of values for x should be tested to determine the possible
zeros of  ? A | ±17, ±19, and ±323 | C | 1, 17, 19, 36, and
323 | B | 1, 17, 19, and 323 | D | ±1, ±17, ±19, and ±323 |
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7.
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Determine the value of k so that  is a factor of  . A | k = 33 | C | k = 1 | B | k = –1 | D | k =
–33 |
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8.
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Based on the graph of  , what are the real roots of  ?  A | –2, 3, 2, –3 | C | impossible to
determine | B | there are no real roots | D | 2, –3, –2, 3 |
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9.
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The graph that corresponds to the function  is
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10.
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Given the function  , what are the parameters of the transformed function
y =   and what is the effect of each parameter on the graph of
the original function? A | a =  , vertical stretch about the x-axis by a factor of
h = 3, horizontal translation 3 units right
k = 8, vertical
translation 8 units right | B | a =  , vertical stretch about
the x-axis by a factor of 
h = 3, horizontal translation 3 units
right
k = 8, vertical translation 8 units right | C | a =  ,
vertical stretch about the x-axis by a factor of 
h = 3, horizontal translation 3
units left
k = 8, vertical translation 8 units down | D | a =  ,
vertical stretch about the x-axis by a factor of 
h = 8, horizontal translation
8 units right
k = 3, vertical translation 3 units right |
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Short Answer
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1.
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Factor fully.
a) x2(x – 2)(x +
2) + 3x + 6
b) 16x4 – (x + 1)2
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2.
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Solve.
a) 3x3 + 2x2 –
8x + 3 = 0
b) 2x3 + x2 – 10x
– 5 = 0
c) 5x4 = 7x2 – 2
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3.
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Determine the degree of the polynomial function (linear, quadratic, cubic, etc.)
that the table of values represents. x | y | –3 | | 7 | | –2 | | 9 | | –1 | | 5 | | 0 | | 1 | | 1 | | 3 | | 2 | | 17 | | 3 | | 49 | | | | | |
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Problem
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1.
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Factor 2x4 – 7x3 –
41x2 – 53x – 21 fully.
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2.
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Solve  algebraically and graphically.
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3.
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Create a cubic polynomial inequality for which x = 3 or 
is the solution. Explain your reasoning .
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