Respuesta :

Answer:

2x³ - 6x² - x

Step-by-step explanation:

Divide each term in f(x) by g(x), that is

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

= 2[tex]x^{(5-2)}[/tex] - 6[tex]x^{(4-2)}[/tex] - [tex]x^{(3-2)}[/tex]

= 2x³ - 6x² - x

Answer:

f(x) / g(x) = 2x³-6x²-x

Step-by-step explanation:

We have given two functions.

f(x) = 16x⁵-48x⁴-8x³

g(x) = 8x²

We have to find the quotient of given functions.

f(x) / g(x) ?

Firstly , simplify f(x).

f(x) = 8.2x².x³-8.6x².x²-8x².x

Taking 8x² as common , we have

f(x) = 8x²(2x³-6x²-x)

Now,

f(x) / g(x) =  8x²(2x³-6x²-x) / 8x²

f(x) / g(x) = 2x³-6x²-x   which is the answer.

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