Question 123522

divide:  3x³ - 5 by x-1
<pre><font size = 5><b>

This is a problem in either long division
or synthetic division, depending on which
you are studying.

Write 3x³ - 5 as 3x³ + 0x² + 0x - 5

By long division:

     <u>       3x² + 3x + 3</u>
x - 1)3x³ + 0x² + 0x - 5
      <u>3x³ - 3x²</u>
            3x² + 0x
            <u>3x² - 3x</u>
                  3x - 5
                  <u>3x - 3</u>
                      -2

So using the formula:

{{{ANSWER=QUOTIENT+(REMAINDER)/(DIVISOR)}}}


{{{ANSWER=3x^2+3x+3+(-2)/(x-1)}}}

or

{{{ANSWER=3x^2+3x+3-2/(x-1)}}}

Do you understand the steps in long division?
If not post again, asking to list the steps.

By synthetic division:

1 | 3  0  0  -5
  |<u>    3  3   3</u>
    3  3  3  -2

Which is interpreted as 

{{{ANSWER=3x^2+3x+3-2/(x-1)}}}

Do you understand the steps in synthetic
division, if that is what you are
studying? If not post again asking
to go through the steps.

Edwin</pre></font></b>