Write the equation of the polynomial given the zeros

The video tutorial explains how to find a polynomial when given its zeros, including complex zeros. It covers writing zeros as factors using the zero product property, multiplying binomials and trinomials, and using the difference of squares to simplify expressions. The tutorial concludes with forming the final polynomial expression.

What is the first step in finding a polynomial when given its zeros?

• Multiply the zeros directly

• Graph the zeros on a coordinate plane

• Express the zeros as factors

• Use the quadratic formula

How can the associative property be used to simplify the multiplication of factors?

• By rearranging the order of multiplication

• By grouping terms to form a difference of squares

• By dividing each factor by a common term

• By adding a constant to each factor

What is the result of completing the difference of squares in this context?

• X^2 - 8X + 18

• X^2 - 8X + 15

• X^2 - 8X + 17

• X^2 - 8X + 16

Which method is used to expand the polynomial after forming the difference of squares?

• The distributive property

• The FOIL method

• The box method

• The quadratic formula

What is the final polynomial expression obtained in the video?

• F(x) = X^3 - 9X^2 + 32X - 34

• F(x) = X^3 - 8X^2 + 17X - 34

• F(x) = X^3 - 10X^2 + 33X - 34

• F(x) = X^3 - 11X^2 + 34X - 34