## anonymous one year ago identify the oblique asymptote of f(x) = quantity x squared minus 4 x plus 8 over quantity x plus 2. y = 0 y = x - 2 y = x - 6 No oblique asymptote

1. anonymous

$f(x) = \frac{ x^2 - 4x + 8 }{ x + 2 }$

2. anonymous

@paki @skullpatrol @nincompoop

3. nincompoop

what is an asymptote?

4. anonymous

idk i missed like a wee of school because i was sick and this is make up work and next week are exams

5. nincompoop
6. anonymous

so i basically factor?

7. ybarrap

You have an improper fraction because the degree of the numerator is 2 and the degree of the denominator is 1. When you divide a degree 2 by a degree 1 you end up with a degree 1 polynomial (at most). Doing synthetic division of this function you get |dw:1433095265662:dw| See - http://www.purplemath.com/modules/synthdiv.htm (for synthetic division process) It's always good to plot the function to visualize the asymptote: http://www.wolframalpha.com/input/?i=plot+%28x%5E2-4x%2B8%29%2F%28x%2B2%29+with+asymptote Does all this make sense?

8. anonymous

hey

9. anonymous

thanx @ybarrap

10. ybarrap

Hopefully you understood and the next one will be a easy!

11. anonymous

yeah i did thank you !