Question

Your answer should be in the formp (x) +k/x where p is a polynomial and k is an integer. 5x^2+x+7/x

Answer 1

`p(x) + (k)/(x) = 5x + 1 + (7)/(x)`

Explanation:

Given

`(5x^2 + x + 7)/(x)`

Required

Express in form of
`p(x) + (k)/(x)`

`(5x^2 + x + 7)/(x)`

The above can be expressed as:

`p(x) + (k)/(x) = (5x^2 + x + 7)/(x)`

`p(x) + (k)/(x) = (5x^2)/(x) + (x)/(x) + (7)/(x)`

`p(x) + (k)/(x) = 5x + 1 + (7)/(x)`

By comparison:

`p(x) = 5x + 1` and
`k = 7`