# What is (4x^4-6x^3+6x-7)/(-2x^2+3)?

$- 2 {x}^{2} + 3 x - 3 + \setminus \frac{- 3 x + 2}{- 2 {x}^{2} + 3}$
See the picture for the division process. The $0$’s as coefficients for $x$’s are there because each degree below the highest degree must be represented in the long division process.