Find the value k that make the function continous piecewise function

The video tutorial explains the process of factoring expressions to simplify them, particularly when dealing with holes in graphs. It covers how to identify and simplify these holes, and how to visualize them using a graphing calculator. The tutorial also discusses the implications of plugging values into simplified equations and how this affects the graph, specifically addressing the concept of undefined points and how to resolve them.

Describe the process of simplifying the expression before graphing.

What value of K corresponds to the hole in the graph when x equals 7?