Question

Let f(x)=16x^5-48x^4-8x^3 and g(x)= 8x^2. find f(x)/g(x)

Answer 1

2x³ - 6x² - x

Explanation:

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

`(16x^5)/(8x^2)` -
`(48x^4)/(8x^2)` -
`(8x^3)/(8x^2)`

= 2
`x^((5-2))` - 6
`x^((4-2))` -
`x^((3-2))`

= 2x³ - 6x² - x

Answer 2

f(x) / g(x) = 2x³-6x²-x

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.