creedjlasson creedjlasson
  • 23-07-2016
  • Mathematics
contestada

if f(x)=2x^2-x-6 and g(x)=x^2-4 find f(x)/g(x)

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konrad509
konrad509 konrad509
  • 23-07-2016
[tex]\dfrac{f(x)}{g(x)}=\dfrac{2x^2-x-6}{x^2-4}\\ \dfrac{f(x)}{g(x)}=\dfrac{2x^2-4x+3x-6}{(x-2)(x+2)}\\ \dfrac{f(x)}{g(x)}=\dfrac{2x(x-2)+3(x-2)}{(x-2)(x+2)}\\ \dfrac{f(x)}{g(x)}=\dfrac{(2x+3)(x-2)}{(x-2)(x+2)}\\ \dfrac{f(x)}{g(x)}=\dfrac{2x+3}{x+2}[/tex]
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