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anonymous
 one year ago
(5x^3 x^2+8x 55)/(x^4 +5x^3+11x^2)
decompose into partial functions...please help?
anonymous
 one year ago
(5x^3 x^2+8x 55)/(x^4 +5x^3+11x^2) decompose into partial functions...please help?

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dinamix
 one year ago
Best ResponseYou've already chosen the best response.0(5x^3x^2+8x55)/x(x^3+5x^2+11x) @hailbug i help u bit

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would I only be factoring one x from the denominator or x^2?

dinamix
 one year ago
Best ResponseYou've already chosen the best response.0no thats only u have thing little dude

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what? sorry I'm confused

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@hailbug why do need to decompose into partial functions?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its part of my summer calc homework. i've searched every tutorial for this but I literally can't find anything that closely resembles this. I was hoping someone would help me out

dinamix
 one year ago
Best ResponseYou've already chosen the best response.0@hailbug u have use Euclidean division thats only

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@hailbug do need solution or answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you need to start by factoring the whole denominator. The common denominator is x², so it's \[\frac{ 5x^3x^2+8x55 }{ x^2(x^2+5x+11) }\] Both of those are quadratic so you can use\(\frac{ Ax+B }{ ax^2+bx+c }\) as a guess. \[\frac{ 5x^3x^2+8x55 }{ x^2(x^2+5x+11) }=\frac{ Ax+B }{ x^2 }+\frac{ Cx+D }{ x^2+5x+11 }\]

dinamix
 one year ago
Best ResponseYou've already chosen the best response.0@peachpi yes this is the anwer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for a full table http://tutorial.math.lamar.edu/Classes/CalcII/PartialFractions.aspx

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's not the answer, just a guess at the format. You still have to multiply, solve the system, etc to get the coefficients

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much that makes so much sense. I was trying to factor everything thinking that was the answer

dinamix
 one year ago
Best ResponseYou've already chosen the best response.0i want ask u qustion how did u know degree of Numerator is Ax+B and cx+D not only D or ax^2 +cx+d ? @peachpi

freckles
 one year ago
Best ResponseYou've already chosen the best response.1the numerator should be at least one degree less than the denominator @dinamix

dinamix
 one year ago
Best ResponseYou've already chosen the best response.0cuz i like your method but i use only (euclidean division ) i want learn other method @peachpi @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.1So if the denominator is 2nd degree, then new numerator choice should be something like Ax+B since this will also include B since A can be zero still (which means the degree of the numerator will be either 0 or 1).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@peachpi so I got the answer \[((3x  5)/x^2)+ ((2x11)/x^2 +5x +11) \] is this correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh haha @ASAAD123 didn't see that, sorry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 5 }{ x^2 }+\frac{ 3 }{ x }+\frac{ 2x11 }{ x^2+5x+11 }\]

dinamix
 one year ago
Best ResponseYou've already chosen the best response.0denominator is degree 4 not 5 @ASAAD123

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@dinamix where is that mistake?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes that's correct @ASAAD123

dinamix
 one year ago
Best ResponseYou've already chosen the best response.0its ax+d/x^2 + bx+c/x^2+5x+11

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the denominator is still degree 4. You can split that first one up and then the denominator will reduce to x. dw:1440868401732:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0basically, you need to look at the degree of the least common denominator, not the sum of the individual degrees

dinamix
 one year ago
Best ResponseYou've already chosen the best response.0ok i understand know , ty
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