Given two real zeros & one complex, write the equation of the polynomial

The video tutorial explains how to write a polynomial given its roots, using the conjugate root theorem for complex and imaginary roots. It covers setting zeros, applying the zero product property, and multiplying factors to derive the polynomial rule. The tutorial also discusses the difference of squares in polynomial multiplication and concludes with deriving the final polynomial expression.

What does the conjugate root theorem state about complex roots?

How do you determine the factors of a polynomial from its roots?

Explain the zero product property and its significance in finding polynomial roots.

Describe the process of multiplying factors to obtain a polynomial.

What is the significance of the middle terms canceling out when multiplying polynomials?

How do you simplify the expression obtained from multiplying the factors of a polynomial?

What is the polynomial formed from the roots X = -1, X = 1, X = i√6, and X = -i√6?