Answer:
(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.
