Learning to Find the Zeros and Multiplicity of a Polynomial in Factored Form

The video tutorial explains how to find zeros of a polynomial by setting it to zero and applying the zero product property. It demonstrates solving for X by adding and taking cube roots, and discusses the concept of multiplicity, emphasizing the importance of linear factors and their powers. The tutorial concludes with a summary of how zeros with multiplicity affect the graph.

What is the first step in finding the zeros of a polynomial?

• Multiply all terms

• Divide by the highest coefficient

• Set the equation to zero

• Add all constants

After setting the equation to zero, what property is applied to solve for X?

• Commutative Property

• Distributive Property

• Zero Product Property

• Associative Property

What operation is performed to solve for X when dealing with a cube?

• Square root

• Cube root

• Addition

• Subtraction

What must be checked before determining the multiplicity of zeros?

• If the factors are constant

• If the factors are linear

• If the factors are quadratic

• If the factors are exponential

How does the graph behave at zeros with different multiplicities?

• It always touches the x-axis

• It crosses the x-axis at zeros with odd multiplicity

• It always remains above the x-axis

• It never crosses the x-axis