Question

Identify the oblique asymptote of
f(x) = (3x^2+2x-5)/(x-4)

Answer 1

ok now we have one
divide

Answer 2

you can use polynomial division or synthetic division. you will get a quotient and a remainder
the quotient is the oblique asymptote (in fact you and ignore the remainder when you divide)

Answer 3

so you know how to divide \(3x^2+2x-5\) by \(x-4\) ?

Answer 4

* do you know how...

Answer 5

no

Answer 6

then that is a problem because it is very hard to write long division here

Answer 7

but you only need first two steps so maybe we can do it

Answer 8

can i use syntheitc division

Answer 9

yes for sure
i recommend it

Answer 10

ok i can do that

Answer 11

3 2 -5
4____8______
3 10

Answer 12

you only need the first two steps, you do not need the remainder. this says you get \(3x+10+\frac{r}{x-4}\) and your oblique asymptote is therefor \(y=3x+10\)

Answer 13

ok thanks

Answer 14

yw