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HI!!

Hey:)

is it
\[\frac{x^2-3x-10}{x-2}\]

Yes

ok lets do them one at a time

what do you get for that? (you can do it in your head)

yeah so all numbers except 2

Let me see...

hmmi think it does factor, but not cancel !

(x-5)(x+2)/x-2

yeah but nothing cancels, so lets continue
but you should always check that first

once we have the domain, we also have the vertical asymptote too

clear or no?

So it is also 2

yes!

careful here

the vertical asymptote is a vertical line, not a number

so you want to return and answer of \(x=2\) the vertical line, not just the number 2

clear?

Oh! Yes! Clear

now for the horizontal asympote
the degree of the numerator is ?

and the denominator?

there is no horizontal then since it's greater than the denom.

bingo

I never learned about a slant asymptote so I dont know :(

ok it is easy to say what to do , but not easy for me to write
in one word "divide"

you can use either long division or (much easier) synthetic division
do you know how to do that?

Yes :)

whew
like i said it is very hard for me to write division here
what do you get?

take your time

I did it in a rush so I got x^2-1x-6.

hmm no you should have a polynomial of degree 1, not a quadratic

1 -3 -10
2
______________
1

that is the iniital set up
then
1 -3 -10
2 2
______________
1 -1

ok then we are done!

oh except for the range

I'm so bad at finding that.

you can write your answer as an interval \((-\infty, \infty)\) or just say "all real numbers"

it is harder for some other ones, but not for this one

Yay! Thanks so much:)))

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