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 result of taking the square root of -1?

• ±i

• ±1

• ±2

• 0

In a complex number, what does the 'a' in a + bi represent?

• Imaginary part

• Real part

• Coefficient of i

• Complex part

Which of the following is true about the imaginary part of a complex number?

• It is always zero

• It is represented by 'a'

• It is represented by 'b'

• It is always positive

According to the complex conjugate theorem, if a + bi is a factor, what else must be a factor?

• a + b

• a - bi

• b - ai

• a + bi

If 1 - i is a factor of a polynomial, what is the other factor according to the complex conjugate theorem?

• -1 - i

• -1 + i

• 1 - i

• 1 + i