Write a polynomial when given a complex and real root

The video tutorial explains how to find a polynomial of degree three given its zeros, including complex zeros. It covers the importance of including conjugates for complex zeros and demonstrates how to convert zeros into factors. The tutorial further explains the multiplication of complex factors using the difference of squares and simplifies the polynomial expression using the FOIL method. The final polynomial is derived with the given zeros.

What is the significance of including the conjugate when dealing with complex zeros?

What is the relationship between zeros, factors, and polynomials?

How do you express the zeros of a polynomial in terms of factors?

What is the result of multiplying the factors (X - (1 - i)) and (X - (1 + i))?

Explain how the difference of squares is used in the multiplication of complex factors.

How does the FOIL technique apply when multiplying polynomials?

What is the polynomial of degree three derived from the zeros 1 + i and -10?