SOLUTION: Perform the following operations. Put answers in standard form. (30x^4+54x^3-36x^2-48x)÷(2x^2+2x-4).

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the following operations. Put answers in standard form. (30x^4+54x^3-36x^2-48x)÷(2x^2+2x-4).      Log On


   

Question 1112046: Perform the following operations. Put answers in standard form.
(30x^4+54x^3-36x^2-48x)÷(2x^2+2x-4).
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Reduce the factor of 2 from dividend and divisor.

%2815x%5E4%2B27x%5E3-18x%5E2-24x%29%2F%28x%5E2%2Bx-2%29

You could factorize x from the numerator.
%28x%2815x%5E3%2B27x%5E2-18x-24%29%29%2F%28x%5E2%2Bx-2%29

You could try factorization further of the numerator; or use polynomial division. 
             15x        12
         _________________________________________
x^2+x-2  |   15x^3     27x^2    -18x    -24
         |
         |   15x^3     15x^2    -30x
         ----------------------------
             0         12x^2     12x    -24
                       12x^2     12x    -24
                     ------------------------
                        0        0       0

Now the expression is x%2815x%2B12%29
or better, highlight%2815x%5E2%2B12x%29