Determine the Zeros for a Polynomial by Factoring

The video tutorial explains how to determine the end behavior of a polynomial function and find its zeros. It covers the process of factoring a trinomial and applying the zero product property to find solutions. The tutorial also discusses the concept of imaginary and real zeros, emphasizing the importance of understanding the multiplicity of zeros.

What is the end behavior of a polynomial with an even degree and a positive leading coefficient?

• Rise left, fall right

• Fall left, rise right

• Rise left, rise right

• Fall left, fall right

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

• Set the output equal to zero

• Find the leading coefficient

• Determine the degree of the polynomial

• Apply the zero product property

When factoring a polynomial, what should you do if all terms have a common factor?

• Ignore the common factor

• Factor out the common factor

• Add the common factor to each term

• Multiply the common factor by the polynomial

What does it mean if the zeros of a polynomial are imaginary?

• They exist on the real plane

• They are greater than zero

• They are equal to zero

• They do not exist on the real plane

What is the multiplicity of a zero if the factor has a degree of 1?

• Multiplicity of 0

• Multiplicity of 1

• Multiplicity of 3

• Multiplicity of 2