Question

`F(x) = 2x^3-5x^2+7x-3` and `g(x) = 2x-3`. What is the quotient and remainder in the form `q(x) + (r(x))/g(x)`?

Answer 1

`x^2-x+5 + 12/(2x-3)`

Explanation:

The question is asking you to divide the polynomials to get the form of `q(x) + (r(x))/g(x)`.

It's like solving `2` divided by `7` to get `3 1/2`, except we're doing this with polynomials.

`f(x) = 2x^3+5x^2+7x-3, g(x) = 2x-3`

`f(x)` can't go into `g(x)` because it's bigger, so `g(x)` will go into `f(x)`