SOLUTION: Divide: x^3-x^2-24x-19/x+3

Algebra ->  Test -> SOLUTION: Divide: x^3-x^2-24x-19/x+3       Log On


   

Question 1006492: Divide: x^3-x^2-24x-19/x+3
Found 2 solutions by josgarithmetic, Theo:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
You mean this way: (x^3-x^2-24x-19)/(x+3) .
Rendered looks like %28x%5E3-x%5E2-24x-19%29%2F%28x%2B3%29.

The process works the same as regular long division; so if you understand long division, you will understand this work. 
 
            x^2      -4x       -12
        ________________________________________
x+3    |    x^3       -x^2      -24x       -19
       |
      |     x^3        3x^2
           _______________
          0           -4x^2    -24x
                      -4x^2    -12x
                      ___________
                      0         -12x        -19
                                -12x        -36
                                 ____________
                                 0          17

The quotient and remainder together mean, the rational expression which the division represents is
highlight%28x%5E2-4x-12%2B17%2F%28x%2B3%29%29.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
answer is x^2 - 4x - 12 with a remainder of 17

this is the same as x^2 - 4x - 12 + (17/(x+3))

here's my worksheet:

$$$

here's a reference on regular division and synthetic division.

http://www.purplemath.com/modules/polydiv.htm

http://www.purplemath.com/modules/synthdiv.htm