# How do you divide (x^4 - 3x^2+4x - 5)/(x+4)?

Synthetic division. Answer: ${x}^{3} - 4 {x}^{2} + 13 x - 48 + \frac{187}{x + 4}$
For synthetic division, we divide the coefficients of the dividend by the value of $x$ that would make the linear equation in the denominator be $0$. You can click on that hyperlink to read more about synthetic division.
Therefore, our answer is ${x}^{3} - 4 {x}^{2} + 13 x - 48 + \frac{187}{x + 4}$