SOLUTION: Dear Tutor, I have tried this problem several ways and can't seem to come up with an acceptible answer. Will you please help me solve it? Thanks!! (4x^8 + 10x^4 + 6x^3) / 2x^6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Dear Tutor, I have tried this problem several ways and can't seem to come up with an acceptible answer. Will you please help me solve it? Thanks!! (4x^8 + 10x^4 + 6x^3) / 2x^6      Log On


   



Question 5082: Dear Tutor, I have tried this problem several ways and can't seem to come up with an acceptible answer. Will you please help me solve it? Thanks!!
(4x^8 + 10x^4 + 6x^3) / 2x^6

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
%284x%5E8+%2B+10x%5E4+%2B+6x%5E3%29+%2F+%282x%5E6%29+

Let's try factoring the common factor of 2x%5E3 from the numerator:
+%282x%5E3%282x%5E5+%2B+5x%5E2+%2B+3%29%29+%2F+%282x%5E6%29+

Now reduce the fraction by dividing out the 2x%5E3:
+%282x%5E5+%2B+5x%5E2+%2B+3%29+%2F+%28x%5E3%29+

I prefer THIS answer, but sometimes there is another form of the answer in which the answer is in separate fractions. You can ignore the rest of this is what I wrote above is the answer you need.

If this is not the answer you need, then you can split up the numerator into three separate fractions:
%282x%5E5%29%2F%28x%5E3%29+%2B+%285x%5E2%29%2F%28x%5E3%29+%2B+3%2F%28x%5E3%29+

Then reduce each fraction:
2x%5E2+%2B+5%2Fx+%2B+3%2F%28x%5E3%29+

R^2 at SCC