SOLUTION: {{{(2r^3 - 6r - 36)/(r-3)="???"}}}

Algebra ->  Finance -> SOLUTION: {{{(2r^3 - 6r - 36)/(r-3)="???"}}}      Log On


   

Question 354788: %282r%5E3+-+6r+-+36%29%2F%28r-3%29=%22%3F%3F%3F%22
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
%282r%5E3+-+6r+-+36%29%2F%28r-3%29=%22%3F%3F%3F%22 
Use either long division or synthetic division to divide it out.

Write in the missing squared term with a 0 coefficient:

%282r%5E3+%2Bred%280r%5E2%29-+6r+-+36%29%2F%28r-3%29=%22%3F%3F%3F%22

By long division

            2r²  +  6r + 12
r - 3)2r³ + 0r² -  6r - 36
      2r³ - 6r²
            6r² -  6r
            6r² - 18r
                  12r - 36 
                  12r - 36
                         0

Answer: 2r² + 6r + 12

By synthetic division:

3 | 2 0 -6 -36
  |   6 18  36
    2 6 12   0

Answer: 2r² + 6r + 12

Edwin