Multiple Choice Identify the
choice that best completes the statement or answers the question.


1.

Which of the following is the fully factored form of x^{3} +
3x^{2} – x – 3?
a.  (x + 3)(x^{2} – 1)  c.  x^{2}(x + 3)
– (x + 3)  b.  (x – 1)(x + 1)(x +
3)  d.  (x^{2}
– 1)(x – 3) 


2.

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 


3.

Which of the following equations has no real solutions?
a.  x^{2}(x^{2} + 1) = 0  c.  3x^{3} +
17x^{2} – 17x – 3 = 0  b.  x^{4}
+ 20 = 0  d.  (x –
1)(x – 2)(x – 3)(x – 4) = 0 


4.

A family of quadratic functions has zeros –3 and 5. Which of the following
is a member of this family?


5.

Which of the following represents a family of cubic polynomials with zeros
–4, 2, and 6?


6.

Examine the following functions. Which function does not belong to the same
family?


7.

Examine the graphs of the following polynomial functions. Which graph does not
belong to the same family?


8.

What is an equation for the quartic function represented by this graph?
