ANSWER
[tex]x+1-\frac{1}{x+5}[/tex]
EXPLANATION
We want to divide the given polynomial by long division:
[tex]\frac{x^2+6x+4}{x+5}[/tex]
To do this, we have to divide each term in the numerator by the first term in the denominator and multiply by the second term.
This is repeated until the last term is divided. That is:
Since we cannot divide further, the remainder is written as a fraction of the divisor.
In other words, the solution to the division is:
[tex]x+1-\frac{1}{x+5}[/tex]
