We are asked to factor the polynomial $x^2 + 7x + 10$.

1. Problem Description

We are asked to factor the polynomial $x^2 + 7x + 10$.

2. Solution Steps

We are looking for two numbers that multiply to 10 and add up to

7. The factors of 10 are 1 and 10, and 2 and

5. Since $2 + 5 = 7$, we can use 2 and

5. Therefore, the factored form of the polynomial is $(x+2)(x+5)$.

3. Final Answer

$(x+2)(x+5)$