Write the equation of a polynomial through a point given the zeros

The video tutorial explains how to solve a polynomial equation by understanding the concept of multiplicity and adjusting the polynomial without changing its solutions. The instructor demonstrates the process of finding a multiplier, K, to ensure the equation F(-1) equals 2, while maintaining the original solutions. The tutorial emphasizes the importance of not altering solutions when adjusting polynomials and provides a step-by-step guide to achieve this.

What does it mean for a polynomial to have a zero of zero with a multiplicity of three?

How does multiplying a polynomial by a constant (K) affect its graph and solutions?