Identify the oblique asymptotes of f(x)=2x^2-5x+2 over x-3

oblique/slant asymptotes occur when the degree of the numerator is exactly 1 greater than that of the denominator

and the oblique asymptote occurs at the quotient of the rational expression, notice, since the denominator is just x - 3, doing a quick synthetic division will do to get the quotient.

Yea they are simplyfiy the ratios