Write the equation of the polynomial given the zeros

The video tutorial explains how to handle complex numbers, focusing on identifying conjugates and setting up equations. It covers factoring techniques and solving complex equations, emphasizing the importance of including both positive and negative roots. The tutorial also demonstrates how to simplify expressions using perfect square trinomials.

Why is it important to include both positive and negative values when dealing with imaginary numbers?

• To make the equation linear

• To simplify the calculation process

• To ensure all possible solutions are considered

• To avoid complex numbers

What is the conjugate of the complex number 3i + 9?

• 3i - 9

• -3i + 9

• -9 - 3i

• 9 + 3i

What common mistake do students make when setting complex numbers as zeros?

• They forget to include the conjugate

• They ignore the real part of the complex number

• They set the complex number directly equal to zero

• They multiply the complex number by itself

What is the result of multiplying (X - 9)^2?

• X^2 + 9X + 81

• X^2 - 9X + 81

• X^2 + 18X + 81

• X^2 - 18X + 81

How do you simplify the expression 9i^2?

• 0

• 9

• -9

• 18

What formula is used to factor (a - b)(a + b)?

• a^2 - b^2

• a^2 - 2ab + b^2

• a^2 + b^2

• a^2 + 2ab + b^2

What is the final function value obtained in the video?

• F(x) = X^2 - 18X + 81

• F(x) = X^2 - 18X + 90

• F(x) = X^2 + 18X + 90

• F(x) = X^2 + 18X + 81