JeremaiD362183 JeremaiD362183
  • 26-10-2022
  • Mathematics
contestada

Let f(x) = 9x ^ 3 - 12x ^ 2 - 31 and let g(x) = 3x - 1 Find (f(x))/(g(x))

Let fx 9x 3 12x 2 31 and let gx 3x 1 Find fxgx class=

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EliciaP233859 EliciaP233859
  • 26-10-2022

Question:

Solution:

Consider the following expression:

[tex]\frac{9x^3-12x^2-31}{3x-1}[/tex]

Applying long division, this is equivalent to:

[tex]3x^2+\frac{-9x^2-31}{3x-1}[/tex]

Finally, applying long division, this is equivalent to:

[tex]3x^2-3x-1-\frac{32}{3x-1}[/tex]

So that, we can conclude that the correct answer is:

[tex]3x^2-3x-1-\frac{32}{3x-1}[/tex]

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