Christos
  • Christos
calculus https://www.dropbox.com/s/y8s8df2tqyky15f/Screenshot%202015-11-06%2023.12.39.png?dl=0 how would you start refactoring it ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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superdavesuper
  • superdavesuper
u know (t-2) is a common factor so u start w that...
zepdrix
  • zepdrix
The denominator factors as such,\[\large\rm \lim_{t\to2}\frac{t^3+3t^2-12t+4}{\color{orangered}{t^3-4t}}=\lim_{t\to2}\frac{t^3+3t^2-12t+4}{\color{orangered}{t(t-2)(t+2)}}\]So the numerator is probably has a factor of (t-2) or (t+2), ya? :) Plugging in t=2 gives us 0 in the numerator, so clearly (t-2) is a factor, as Dave pointed out. Remember how to do Polynomial Long-Division or Synthetic Division?
Christos
  • Christos
unfortunately I dont remember :( what is the difference between long division and synthetic division ? @zepdrix

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zepdrix
  • zepdrix
Umm they're both the same thing :d Just two different ways of representing division.|dw:1446845873933:dw|
zepdrix
  • zepdrix
This is our setup for long division. Grr hold on :( My pen tablet not working.. hard to draw..
zepdrix
  • zepdrix
|dw:1446846217461:dw|Your goal is to match up these leading terms.
zepdrix
  • zepdrix
In order to turn t into t^3, we multiply it by t^2. Not just the t though, the entire (t-2) by the t^2.
zepdrix
  • zepdrix
|dw:1446846300229:dw|
zepdrix
  • zepdrix
And then subtract
zepdrix
  • zepdrix
|dw:1446846333422:dw|
zepdrix
  • zepdrix
|dw:1446846366826:dw|Bring down the other guy
zepdrix
  • zepdrix
And repeat the process.

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