Determine the Multiplicity & Zeros of a Polynomial by Inspection

The video tutorial explains how to find the zeros of a polynomial and determine their multiplicity. It begins by defining zeros and setting the polynomial equal to zero. The zero product property is applied to find the zeros, and equations are solved to determine specific values. The concept of multiplicity is introduced, explaining how it affects the graph of the polynomial. Odd multiplicity results in the graph crossing the x-axis, while even multiplicity causes it to touch the axis. The tutorial concludes with tips on factorization and understanding multiplicity.

What is the multiplicity of the zeros found in the polynomial?

What happens to the graph of a polynomial when it has an odd multiplicity?