### Home > PC3 > Chapter 4 > Lesson 4.3.2 > Problem4-120

4-120.

Use polynomial division to rewrite the equation of $r(x)=\frac{3x^2+x-5}{x-4}$. Then graph the function and describe the end behavior.

A vertical asymptote can occur when the denominator is equal to $0$.

Notice that the power of $x$ in the numerator is greater than the power of $x$ in the denominator. This will create a slant asymptote.