Factor the expression x^2+6x+5

(x + 5)(x + 1)

Step-by-step explanation:

First, notice that because this is a trinomial (has three terms separated by some operation), we will use a basic factoring technique.

The parent function for a quadratic is ax²+bx+c=0.

Therefore, the factoring technique is to see what factors of C add up to give you B.

Factors of 5 are 5 and 1, and 5 + 1 = 6.

So, therefore, your factors are (x + 5) (x + 1).

Performing the FOIL function on this gives you x² + 1x + 5x + 5. Simplify by adding like terms and your final answer is x² + 6x + 5.