How to factor a trinomial with a negative middle term

The video tutorial explains how to factor a trinomial with a negative middle term and a positive last term. It introduces the FOIL method and demonstrates how to find two numbers that multiply to a given number, in this case, 15, and add to a negative number, -8. The tutorial uses the quadratic form to identify the correct factors, emphasizing the use of negative numbers to achieve the desired result. The final solution is presented as two binomials, X - 3 and X - 5.

Explain the significance of the quadratic form in factoring.

What are the final factors of the trinomial discussed in the lesson?