Final: Divide and Conquer

To divide a polynomial by a monomial, split the fraction into one piece for each term. In each piece, divide the coefficients and subtract the exponents.

For $\frac{12x^{3}+8x^{2}}{4x^{2}}$: $\frac{12x^{3}}{4x^{2}} = 3x$ and $\frac{8x^{2}}{4x^{2}} = 2$, so the quotient is $3x+2$. The second term divides to the plain number 2, and that 2 stays in the answer.