Write the polynomial with complex zeros

The video tutorial explains how to write the equation of a polynomial when given its zeros, including real, rational, irrational, and complex zeros. It emphasizes the importance of complex conjugates and demonstrates techniques to avoid fractional coefficients. The tutorial covers linear factorization, the difference of two squares, and handling complex zeros with multiplicity. The final section combines these concepts to form the complete polynomial equation.

What is the significance of the complex conjugate in polynomial equations?

How do you determine the zeros of a polynomial when given imaginary numbers?

Explain the process of writing the linear factorization of a polynomial.

What is the importance of avoiding fractional coefficients in polynomial equations?

Describe how to multiply complex conjugates in polynomial equations.

What steps are involved in using the FOIL method for multiplying binomials?

How do you handle multiplicity when writing factors of a polynomial?

What is the process for expanding a perfect square trinomial?

How do you apply the distributive property when multiplying polynomials?

What is the final form of the polynomial when given the zeros, including complex numbers?