Name: 
 

MHF4U - 2.2 factor theorem



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

 1. 

If P(x) = 4x3 – 11x2 – 6x + 9 is divided by x – 3, what is the remainder?
a.
P(3)
c.
0
b.
P(–3)
d.
A and C
 

 2. 

When x3 – 4x2 + mx – 2 is divided by x – 1, the remainder is –7. What is the value of m?
a.
m = –2
c.
m = 0
b.
m = 1
d.
m = –8
 

 3. 

A factor of x3 – 5x2 – 8x + 12 is     
a.
1
c.
x – 1
b.
d.
x – 8 
 

 4. 

Which of the following binomials is a factor of x3 – 6x2 + 11x – 6?
a.
x – 1
c.
x + 7
b.
x + 1
d.
2x + 3
 

 5. 

Determine the value of k so that x – 3 is a factor of x3 – 3x2 + x + k.
a.
k = 3
c.
k = 1
b.
k = –3
d.
k = –1
 



 
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