Question

How do you divide #(x^3-2x^2+2x-9) / (x-2) # using polynomial long division?

Answer 1

`x^2+2` with remainder `(-5)`
(see below for actual polynomial long division)

Explanation:

#{: (,,x^2,,+2,), (,,"----","----","----","----"), (x-2,")",x^3,-2x^2,+2x,-9), (,,x^3,-2x^2,,), (,,"----","----","----","----"), (,,,,+2x,-9), (,,,,"----","----"), (,,,,,-5) :}#