anonymous
  • anonymous
long division question
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1378551619310:dw|
anonymous
  • anonymous
i seem to have forgotten, how to do this, anyone able to help?
AkashdeepDeb
  • AkashdeepDeb
@mathsnerd101 This division is against math law I believe. Because you cannot divide a polynomial of a smaller degree from a polynomial of a greater degree. :)

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anonymous
  • anonymous
wooppss, i mean |dw:1378557356613:dw| cos i need to solve this integral \[ \int \frac{x^3}{x^2-3x+2}\]
anonymous
  • anonymous
no need of dividing use partial fractions
anonymous
  • anonymous
x^2-3x+2=(x-2)(x-1)
anonymous
  • anonymous
i know how to use partial fractions..but i need to do it by long division
anonymous
  • anonymous
x^3[1/(x-2)(x-1)] split the terms by taking x^3 aside
anonymous
  • anonymous
you cannot divide it like that if you want to proceed expand (x-2)^-1 and (x-1)^-1 and multiply also multiply with x^-3 but you will get large number of terms as the resulting series of each negative exponent term has infinite terms in it
anonymous
  • anonymous
i think its possible..
anonymous
  • anonymous
cos the solution i have used long division..but i cant remember how to do lonng division
anonymous
  • anonymous
its possible but you will get many terms and this is applicable for |x|<1 as higher exponents are approximately 0
anonymous
  • anonymous
you can do one thing just add and subtract 3x^2 and 2x
anonymous
  • anonymous
then x+(3x^2-2x)/(x^2-3x+2) go on simplifying this following this procedure
anonymous
  • anonymous
after 2 stages you get (x+3) as the quotient and (11x-6) as remainder as the remainder is non zero you again get a fraction part

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