Solve using long polynomial division

(5x^2-x^2+x-2)/(x^2+2)

3 answers

the first step is to fix your typo. Then,
5x^3 = x^2 * 5x, so the first term in the quotient is 5x.
(5x^3 - x^2 + x - 2) - 5x(x^2+2) = -x^2-9x-2
so, the next term will be -1
can you finish it up?

google "polynomial division calculator" to find several handy online sites to confirm your work
oh i meant to say (5x^4-x^2+x-2)/(x^2+2)
oh, well. The steps remain the same.