Question

Given the functions a(x) = 4x2 + 2x - 3 and b(x) = x - 1, identify the oblique asymptote of the function a of x over the function b of x.

y = 4x + 6

y = 4x - 2

y = 0

No oblique asymptote

Answer 1

@IMStuck please help?

Answer 2

A slant (oblique) asymptote occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator. To find the slant asymptote you must divide the numerator by the denominator using either long division or synthetic division.

Answer 3

so wait what do i do
?

Answer 4

do you know how to do synthetic division?

Answer 5

uhhh sort of

Answer 6

Do you know long division of polynomials better, or no? Cuz synthetic is way easier, but not if you don't know it. Which are you more comfy with?

Answer 7

what do i divide?

Answer 8

For long division it will look like this: