How to Find the Zeros of a Polynomial by Factoring

The video tutorial covers finding zeros of a function by setting FX to zero and factoring the greatest common factor (GCF). It explains perfect square trinomials and how to identify them. The zero product property is applied to solve equations, and the importance of considering both positive and negative values when taking square roots is emphasized.

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

• Add a constant to the function

• Set the function equal to zero

• Factor out the constant term

• Multiply the function by zero

Which of the following is a characteristic of a perfect square trinomial?

• It cannot be factored

• It always has a constant term of zero

• It is always a linear equation

• It can be factored into two identical binomials

What is the result of factoring the expression X^2 - 6^2?

• (X - 6)^2

• (X - 6)(X + 6)

• (X + 6)^2

• (X - 3)(X + 3)

When solving an equation by taking the square root, what must you remember to include?

• Neither root

• Both positive and negative roots

• Only the negative root

• Only the positive root

What property allows you to set each factor of a product equal to zero to solve an equation?

• Commutative Property

• Zero Product Property

• Associative Property

• Distributive Property