The problem asks to factor the quadratic polynomial $x^2 + 6x + 5$.

1. Problem Description

The problem asks to factor the quadratic polynomial $x^2 + 6x + 5$.

2. Solution Steps

We are looking for two numbers that multiply to 5 and add to

6. The factors of 5 are 1 and

5. Since $1 \times 5 = 5$ and $1 + 5 = 6$, these are the numbers we are looking for.

We can write the polynomial as $(x+1)(x+5)$.

Expanding this expression gives $x^2 + 5x + x + 5 = x^2 + 6x + 5$, which confirms our factorization.

3. Final Answer

$(x+1)(x+5)$