SOLUTION: 2m^2+13m-18/2m+3 an polynomial wiz can break down why the answer is: m+5 -33/2m+3 totallu confused with this problem

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 2m^2+13m-18/2m+3 an polynomial wiz can break down why the answer is: m+5 -33/2m+3 totallu confused with this problem       Log On


   

Question 175439: 2m^2+13m-18/2m+3
an polynomial wiz can break down why the answer is: m+5 -33/2m+3 totallu confused with this problem
Found 2 solutions by Mathtut, stanbon:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
they worked this by long hand
:
        m + 5
      --------------------- 
2m+3 ) 2m2+13m - 18
       -(2m2+3m)
        ----------------
               10m   
              -(10m+15)
              ---------
                   -33
                      
so the remainder is -33/(2m+3)
:
a
Answer:  highlight%28m%2B5-%2833%2F%282m%2B3%29%29%29


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2m^2+13m-18/2m+3
----------------------
Set it up as you would a long-division problem
----
Divide 2m into 2m^2 to get m
Multiply m times 2m+3 to get 2m^2+3m
Subtract that from 2m^2 + 13m - 18 to get 10m-18
Divide the 10m by 2m to get 5
Multiply 5 times 2m+3 to get 10m+15
Subtract that from from 10m-18 to get -33
=============================
The quotient is m+5
The remainder is -33
========================
Cheers,
Stan H.