Divide the following polynomials and then complete the quotient. write your answer in order of decreasing powers of x. (10x^6 + 20x^4 - 15x^2) ÷ 5x^2 = x^4 + x -

The easiest way to do this is to put each term in the numerator over the denominator and do the division/reducing for each one.  Like this: .  The first term reduces to , the second to , and the third to 3.  Putting them all together with the signs in between we have