Name: 
 

mhf4u - 2.1



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

 1. 

If x3 – 4x2 + 5x – 6 is divided by x – 1, then the restriction on x is
a.
x mc001-1.jpg –4
c.
x mc001-3.jpg 1
b.
x mc001-2.jpg –1
d.
no restrictions
 

 2. 

What is the remainder when x4 + 2x2 – 3x + 7 is divided by x + 2?
a.
25
c.
37
b.
13
d.
9
 

 3. 

If 2x3 – 9x2 + 4x – 7 is divided by x – 3 to give a quotient of 2x2 – 3x – 5 and
a remainder of –22 , then which of the following is true?
a.
2x3 – 9x2 + 4x – 7 = (x – 3)(2x2 – 3x – 5) + 22
b.
2x3 – 9x2 + 4x – 7 = (x – 3)(2x2 – 3x – 5) – 22
c.
(x – 3)(2x2 – 3x – 5) = 22
d.
(x – 3)(2x2 – 3x – 5) = –22
 

Short Answer
 

 4. 

Complete this question and bring to class.
a)
Use long division to divide x3 + 3x2 – 7 by x + 2. Express the result in quotient form.
b) Identify any restrictions on the variable.
c) Write the corresponding statement that can be used to check the division.
d) Verify your answer.
 



 
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