anonymous
  • anonymous
I am confused on finding the least common denominator for polynomails
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\frac{ 4x }{3x-4 }+\frac{ 8 }{ 3x ^{2}-4x }+\frac{ 2 }{ x }\] I know it is (3x-4) but I do not know how to know which is the least for when I look at a problem.
amistre64
  • amistre64
can the middle denominator be factored?
anonymous
  • anonymous
yes

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amistre64
  • amistre64
then id go ahead and factor it, it easiest to see when they are all in factored forms
anonymous
  • anonymous
x(3x-4)
amistre64
  • amistre64
now we look at "parts" to see what each one is missing
anonymous
  • anonymous
to make it equal to the middles original formula? 3x^2-4x
amistre64
  • amistre64
now we look at "parts" to see what each one is missing
amistre64
  • amistre64
ugh ... latex coding made my browser crash ....
amistre64
  • amistre64
4x 8 2 ----- + ------- + ---- (3x-4) x(3x-4) x ^^^ ^^ needs an x needs an (3x-4)
amistre64
  • amistre64
4xx 8 2(3x-4) ------- + ------- + -------- x(3x-4) x(3x-4) x(3x-4) 4x^2 + 8+ 2(3x-4) -------------------- x(3x-4)
anonymous
  • anonymous
oh ok then the top would be \[4x(x) + 8 (since the formula below was complete) + 2(3x-4)\]
anonymous
  • anonymous
now what if the problem includes a denominator that can not be factored?
amistre64
  • amistre64
then you simply use it as one of the parts ...
amistre64
  • amistre64
the idea is to make sure all the denominators have the same parts in the end
anonymous
  • anonymous
oh ok thank you very much, this teacher does not show steps so helped alot on explaining them. Thank you again.
amistre64
  • amistre64
the higher you get in math classes, the more they expect you to have learned prior ;)

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