Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which of the following is the fully factored form of x3 +
3x2 – x – 3?
a. | (x + 3)(x2 – 1) | c. | x2(x + 3)
– (x + 3) | b. | (x – 1)(x + 1)(x +
3) | d. | (x2
– 1)(x – 3) |
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2.
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What is the maximum number of real distinct roots that a quartic equation can
have?
a. | infinitely many | c. | 2 | b. | 4 | d. | none of the
above |
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3.
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Which of the following equations has no real solutions?
a. | x2(x2 + 1) = 0 | c. | 3x3 +
17x2 – 17x – 3 = 0 | b. | x4
+ 20 = 0 | d. | (x –
1)(x – 2)(x – 3)(x – 4) = 0 |
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4.
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A family of quadratic functions has zeros –3 and 5. Which of the following
is a member of this family?
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5.
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Which of the following represents a family of cubic polynomials with zeros
–4, 2, and 6?
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6.
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Examine the following functions. Which function does not belong to the same
family?
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7.
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Examine the graphs of the following polynomial functions. Which graph does not
belong to the same family?
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8.
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What is an equation for the quartic function represented by this graph? 
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