Name: 
 

MHF4U - 2.4 Families



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 x3 + 3x2x – 3?
a.
(x + 3)(x2 – 1)
c.
x2(x + 3) – (x + 3)
b.
(x – 1)(x + 1)(x + 3)
d.
(x2 – 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.
x2(x2 + 1) = 0
c.
3x3 + 17x2 – 17x – 3 = 0
b.
x4 + 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?
a.
mc004-1.jpg
c.
mc004-3.jpg
b.
mc004-2.jpg
d.
mc004-4.jpg
 

 5. 

Which of the following represents a family of cubic polynomials with zeros –4, 2, and 6?
a.
mc005-1.jpg
c.
mc005-3.jpg
b.
mc005-2.jpg
d.
mc005-4.jpg
 

 6. 

Examine the following functions. Which function does not belong to the same family?
a.
mc006-1.jpg
c.
mc006-3.jpg
b.
mc006-2.jpg
d.
mc006-4.jpg
 

 7. 

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

mc007-1.jpg
c.

mc007-3.jpg
b.

mc007-2.jpg
d.

mc007-4.jpg
 

 8. 

What is an equation for the quartic function represented by this graph?
mc008-1.jpg
a.
mc008-2.jpg
c.
mc008-4.jpg
b.
mc008-3.jpg
d.
mc008-5.jpg
 



 
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