Find the zeros and multiplicity by factoring a polynomial

The video tutorial covers the process of factoring polynomials, starting with identifying common factors and moving on to quadratic equations. It explains the concept of multiplicity in zeros, using the zero product property to find zeros, and discusses how coefficients affect the zeros of a polynomial. The tutorial emphasizes understanding these concepts for solving equations and preparing for quizzes or tests.

What does the zero product property state regarding the zeros of a polynomial?

Discuss how the coefficient of a polynomial affects its zeros.