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f(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 Find f(x)/g(x)

A).x&5/2+6x&3/2-1
B).(x^5+6x^3+1)^1/2
C).x^5/2+6x^3/2+1
D).x^3/2+6x+x^1/4
E).x^3/2-6x+x^1/4

Respuesta :

sqdancefan

Answer:

  C)  x^5/2 +6x^3/2 +1

Step-by-step explanation:

The relevant rule of exponents is ...

  a^b/a^c = a^(b-c)

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  [tex]\dfrac{x^3+6x^2+x^{1/2}}{x^{1/2}}=x^{3-1/2}+6x^{2-1/2}+x^{1/2-1/2}=\boxed{x^{5/2}+6x^{3/2}+1}[/tex]

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