Write the polynomial when given zeros and multiplicity

The video tutorial explains the concept of zeros with multiplicity and how they affect the factored form of polynomials. It covers perfect square trinomials, detailing how binomials squared result in these trinomials. The tutorial also demonstrates multiplying trinomials using the box method, highlighting common mistakes and how to avoid them. Finally, it shows how to combine and simplify polynomial terms, emphasizing the cancellation of terms to achieve a simplified polynomial expression.

What is the multiplicity of the zeros in the given polynomial example?

• One

• Two

• Four

• Three

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

• The first and last terms are squared

• The middle term is always positive

• It always results in a linear equation

• It cannot be factored further

What is the result of multiplying two binomial squares?

• A cubic equation

• A perfect square trinomial

• A quadratic equation

• A linear equation

Which method is used to multiply trinomials in the video?

• Graphical Method

• FOIL Method

• Box Method

• Distributive Property

What happens to terms that are both positive and negative in the polynomial simplification?

• They are multiplied

• They cancel each other out

• They remain unchanged

• They are added together