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


1.

If x^{3} – 4x^{2} + 5x – 6 is
divided by x – 1, then the restriction on x is
a.  x –4  c.  x
1  b.  x –1  d.  no restrictions 


2.

What is the remainder when x^{4} + 2x^{2} –
3x + 7 is divided by x + 2?


3.

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

Short Answer


4.

Complete this question and bring to class. a) Use long division to
divide x^{3} + 3x^{2} – 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.
