SOLUTION: Please help me solve: 2x^3-x^2+3 divided by (x-3) I'm asked to find the quotient and the remainder. Thanks!!!!!

Algebra ->  Equations -> SOLUTION: Please help me solve: 2x^3-x^2+3 divided by (x-3) I'm asked to find the quotient and the remainder. Thanks!!!!!      Log On


   



Question 41596: Please help me solve:
2x^3-x^2+3 divided by (x-3)
I'm asked to find the quotient and the remainder.


Thanks!!!!!

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve:

               2x³ - x² + 3  divided by  x - 3


I'm asked to find the quotient and the remainder.


By long division:

2x³ - x² + 3 has a missing term in x, so we must 
insert a place-holder " + 0x ", and rewrite it as 

2x³ - x² + 0x + 3

                        2x² +  5x + 15
           x - 3) 2x³ -  x² +  0x +  3  
                  2x³ - 6x²
                        5x² +  0x
                        5x² - 15x
                              15x +  3
                              15x - 45
                                    48

The quotient is 2x² + 5x + 15 
The remainder is 48

Do you understand long division?  If not post
again and ask for a step-by-step illustration of
how long division is performed.

Edwin
AnlytcPhil@aol.com