Simplifying the difference quotient of a quadratic function

The video tutorial explains how to evaluate functions by substituting different inputs, focusing on the function 3X^2 + 2X. It demonstrates the process of finding F of X + H, including expanding and distributing terms. The tutorial concludes with simplifying the difference between F of X + H and F of X, highlighting key steps and common pitfalls.

What is the final expression for F of X + H after simplification?

How do you handle the subtraction of F of X from F of X + H?

What does the final result indicate about the relationship between H and X?