Question

Identify the oblique asymptote of f(x) = quantity 2 x squared minus 5 x plus 2 over quantity x minus 3.

Answer 1

The answer is y = 2x + 1

Explanation:

Trust.

Answer 2

`\bf f(x)=\cfrac{2x^2-5x+2}{x-3}\impliedby \begin{array}{llll} \textit{now, we can do a quick synthetic}\\ \textit{division, since the divisor is}\\ x-3 \end{array}\\\\ -------------------------------\\\\ \begin{array}rrrrl 3&&2&-5&2\\ &&&6&3\\ --&&--&--&--\\ &&2&1&\boxed{5}&\leftarrow remainder \end{array}\\\\ -------------------------------\\\\ \textit{so the quotient is }2x+1\impliedby \textit{oblique asymptote}\implies y=2x+1`