Question

Your answer should pe in form p(x)+k/x+4 where p is a polynomial and k is an integer x^2+1/x+4

Answer 1

The expression x^2+1/x+4 can be written as x - 3 + (13 / x + 4).

Step-by-step explanation:

The expression x^2+1/x+4 is a quadratic equation.

We can rewrite it as (x^2+4x+1) / (x+4).

To put it in the form p(x) + (k / x + 4), we need to divide the numerator (x^2+4x+1) by the denominator (x+4).

Doing this division, we get:

x - 3 + (13 / x + 4)

So, the polynomial p(x) is x - 3 and the integer k is 13.