Find the Zeros of a Polynomial by Factoring Substitution

The video tutorial covers determining the end behavior, finding real zeros, and understanding multiplicity of polynomial functions. It explains the role of degree and leading coefficient in end behavior, and demonstrates solving for real zeros using factoring, the quadratic formula, and completing the square. The zero product property is applied to solve equations, and the concept of complex numbers is introduced, highlighting their impact on real roots and multiplicity.

What is the first step in determining the properties of a polynomial function?

How do you determine the end behavior of a polynomial function?

What is the significance of the degree and leading coefficient in a polynomial function?

Explain the process of finding real zeros of a polynomial function.

What is the Zero Product Property and how is it applied?

Describe the concept of multiplicity in relation to polynomial functions.

What happens when you cannot take the square root of a negative number in polynomial equations?