Respuesta :

The correct answer is
2x^3-6x^2-x
Riia

It is given in the question that

[tex]f(x) = 16x^5 -48x^4-8x^3 \ and \  g(x) = 8x^2[/tex]

And we have to find the value of

[tex]\frac{f(x)}{g(x)}[/tex]

Substituting the values of two functions, we will get

[tex]=\frac{16x^5 -48x^4 -8x^3}{8x^2}[/tex]

8x^3 is common in the numerator, and on taking it out, we will get

[tex]= \frac{8x^3(2x^2 -6x-1)}{8x^2} = x(2x^2 -6x-1)[/tex]

And that's the required answer .