haleyelizabeth2017
  • haleyelizabeth2017
Find the equation of the slant asymptote for the graph of y=(x^2-5)/(x+3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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haleyelizabeth2017
  • haleyelizabeth2017
I know I can do long division to find it, and once I get to the form mx+b, that's the slant asymptote lol
jim_thompson5910
  • jim_thompson5910
how far did you get with the long division?
haleyelizabeth2017
  • haleyelizabeth2017
Not very lol my mind went blank

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haleyelizabeth2017
  • haleyelizabeth2017
Is there an easier way?
jim_thompson5910
  • jim_thompson5910
|dw:1444258914382:dw|
jim_thompson5910
  • jim_thompson5910
we could use synthetic division if you want?
haleyelizabeth2017
  • haleyelizabeth2017
Yes please!
jim_thompson5910
  • jim_thompson5910
|dw:1444259036081:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1444259070720:dw|
jim_thompson5910
  • jim_thompson5910
write out the coefficients in a horizontal line |dw:1444259096702:dw|
haleyelizabeth2017
  • haleyelizabeth2017
|dw:1444259093792:dw| I don't remember if we put -3 or 3 outside though...
haleyelizabeth2017
  • haleyelizabeth2017
-3, right?
jim_thompson5910
  • jim_thompson5910
solve x+3 = 0 for x to get x = 3 so -3 is our test root |dw:1444259144243:dw|
haleyelizabeth2017
  • haleyelizabeth2017
I remember this now...
jim_thompson5910
  • jim_thompson5910
oops, I meant to say `to get x = -3`
haleyelizabeth2017
  • haleyelizabeth2017
|dw:1444259171135:dw|right?
haleyelizabeth2017
  • haleyelizabeth2017
so our equation would be x-3...
haleyelizabeth2017
  • haleyelizabeth2017
er...y=x-3, my bad
jim_thompson5910
  • jim_thompson5910
|dw:1444259235171:dw|
jim_thompson5910
  • jim_thompson5910
yep the slant asymptote is `y = x-3`
haleyelizabeth2017
  • haleyelizabeth2017
Thank you! :)
jim_thompson5910
  • jim_thompson5910
you're welcome

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