Find the horizontal and vertical asymptotes of (3x^2-48)/(x^2-3x+10)

Answer 1

c'mon, guy, this is just Algebra II.

vertical asymptotes where the denominator is zero and the numerator is not zero.

Horizontal asymptotes where x is huge. When x is huge huge huge, only the highest powers matter. So, toss out everything else in the top and bottom and see what you have left.

Answer 2

Wouldn't the VA be (-4,0) and (4,0) cuz that's what I got when I factored out the numerator

Answer 3

x^2-3x+10 is never zero, so there are no VAs.

You found the roots, where y=0.