Question

F(x)=x^3+6x^2+x^1/2 and g(x)+x^1/2 . find f(x) divided by g(x)

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have that
`f(x)=x^(3)+6x^(2)+x^{(1)/(2)}` and
`g(x)=x^{(1)/(2)}`, therefore, you must divide must fucntion, as following:

`(f(x))/(g(x))=\frac{x^(2)+6x^(2)+x^{(1)/(2)}}{x^{(1)/(2)}}`

2. You must simplify it,by factoring out
`x^{(1)/(2)}`, as following:

`image`

3. Finally, you obtain that the answer is:

`(f(x))/(g(x))= x^{ (5)/(2) } +6 x^{ (3)/(2) } +1`