Algebra 2 - How to factor the GCF from a trinomial, s^3 + 6s^2 + 11s

The video tutorial discusses the process of factoring a trinomial. It begins by identifying common factors among terms and then attempts to factor a given trinomial. The instructor explains the need to find two numbers that multiply to a specific value and add to another. However, the trinomial in question cannot be factored further, leading to a conclusion that only the variable can be factored out.

What is the significance of finding two numbers that multiply to give 11 and add to give 6?

What does the teacher suggest to do with the variable in the trinomial?