Algebra 2 - What is the complex conjugate throrem

The video tutorial revisits complex numbers, explaining their use in solving equations and their structure. It covers the process of solving for X using complex numbers, emphasizing the importance of the plus-minus sign when taking square roots. The tutorial also discusses the form of complex numbers, consisting of real and imaginary parts, and introduces the complex conjugate theorem, which states that if a complex number is a factor of a polynomial, its conjugate is also a factor.

What is the significance of the plus or minus sign when taking the square root of a negative number?

Explain how complex numbers are represented in terms of their real and imaginary parts.

What does the complex conjugate theorem state about factors of a polynomial?

Why is it important for B to not be zero when discussing complex numbers?

If a + bi is a factor of a polynomial, what can you say about a - bi?