Writing the polynomial function with a complex number as a zero

The video tutorial explains how to solve equations involving complex numbers by using conjugates and setting them equal to zero. It demonstrates the process of multiplying factors and simplifying expressions using the difference of squares. The tutorial concludes with calculating the polynomial function using the box method.

What is the conjugate of the complex number 2 + i?

• -2 + i

• 2 - i

• 2 + i

• -2 - i

When setting zeros equal to X, which operation is NOT typically used?

• Addition

• Division

• Subtraction

• Multiplication

What mathematical method is used to simplify the multiplication of binomials in this section?

• Difference of two squares

• Quadratic formula

• Completing the square

• Synthetic division

In the box method, what do you calculate to find the area of each box?

• Base times height

• Radius times diameter

• Length times width

• Circumference times radius

What is the final polynomial expression derived in the video?

• F(x) = x^3 - 8x^2 + 21x - 20

• F(x) = x^3 - 8x^2 + 21x - 19

• F(x) = x^3 - 8x^2 + 20x - 20

• F(x) = x^3 - 7x^2 + 21x - 20