Given three real zeros write the equation of the polynomial

The video tutorial explains how to write a polynomial given a set of zeros. It covers the process of converting zeros into factors, discusses the degree of polynomials, and introduces the zero product property. The tutorial also demonstrates how to find polynomial functions from zeros and uses the box method for polynomial multiplication. The lesson concludes with a summary of the steps involved in writing a polynomial.

What is the first step in writing a polynomial when given a set of zeros?

• Add the zeros

• Write the zeros as factors

• Divide the zeros by the degree

• Multiply the zeros together

How does changing the degree of a polynomial affect its zeros?

• It changes the sign of the zeros

• It changes the zeros

• It changes the multiplicity of the zeros

• It has no effect on the zeros

What property allows us to set factors equal to zero to find a polynomial?

• Commutative Property

• Associative Property

• Zero Product Property

• Distributive Property

Which method is highlighted for organizing terms when constructing a polynomial?

• FOIL Method

• Box Method

• Graphing Method

• Substitution Method

What is the final polynomial expression derived using the box method in the tutorial?

• F(x) = x^3 - 4x^2 + 8x

• F(x) = x^3 + 4x^2 - 8x

• F(x) = x^3 + 6x^2 - 8x

• F(x) = x^3 - 6x^2 + 8x