The simplified form the given rational function

The rational function is expressed as (13x + 44) / (x^2 + 6x + 8).

In the numerator (the top part), we have the expression 13x + 44. This means we have a polynomial with a degree of 1 (since the highest power of x is 1) and the coefficients are 13 and 44. So, the numerator is a linear polynomial.