Question

Question #f9b4b

Answer 1

You can use either long division or synthetic division(see below).

Explanation:

While long division is an option to solve these kinds of problems, I prefer synthetic division. Here is the work for that method for the equation `color(green)(3)x^3-color(green)(2)x^2color(green)(-3)x+color(green)(2)`:

`1" "|" "color(green)(3" "-2" "-3" "2`
`" "" "" "" "3" " " "1" "2`
///////////////////////////////////////////////
`" "color(red)(3)" "" "color(red)(1)" "color(red)(-2)" "color(blue)(0)`

Therefore, your answer is `color(red)(3)x^2+color(red)(x)+color(red)(-2)`