anonymous
  • anonymous
Partial Fraction Decomposition (Shown Below)
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[\frac{ x+6 }{x ^{3} -3x ^{2}-4x+12}\]
anonymous
  • anonymous
@UnkleRhaukus can you help with only the first part
UnkleRhaukus
  • UnkleRhaukus
so you want to factorize the denominator

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anonymous
  • anonymous
im still trying to figure out the quadratic part like bx+c
anonymous
  • anonymous
\[\frac{ a }{ x-3 }+\frac{ bx+c }{ x ^{2}-4 }\]
anonymous
  • anonymous
maybe?
UnkleRhaukus
  • UnkleRhaukus
yeah that looks right, (im not sure how you got those factors but they are correct
anonymous
  • anonymous
so that is the correct use of bx+c, does it ever go like bx-c?
UnkleRhaukus
  • UnkleRhaukus
if you had -c, would would just find a different values for c it wouldn't make any difference in the end
anonymous
  • anonymous
oh ok thanks again
UnkleRhaukus
  • UnkleRhaukus

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