The video tutorial explains the process of finding factors from zeros, including complex zeros and their conjugate pairs. It covers setting zeros equal to X and finding factors, followed by multiplying to obtain the polynomial. The box method is used to simplify the multiplication of complex numbers, ensuring a clear understanding of the process.

What is the significance of conjugate pairs in complex zeros?

• They simplify the polynomial.

• They ensure the polynomial is real.

• They make the polynomial easier to solve.

• They are not significant.

What is the first step in finding the factors from given zeros?

• Set each zero equal to X.

• Divide the zeros by X.

• Add the zeros together.

• Multiply the zeros together.

Why is it suggested to keep X positive when setting zeros equal to X?

• It makes calculations faster.

• It reduces the number of negative signs.

• It is required for all polynomials.

• It is a standard mathematical practice.

What method is used to multiply polynomials in this lesson?

• FOIL method

• Box method

• Graphical method

• Synthetic division

What is the result of multiplying negative I by I?

• Negative one

• Positive one

• Negative I squared

• Positive I squared

What happens to the diagonal terms when using the box method for polynomial multiplication?

• They cancel each other out.

• They are added together.

• They are ignored.

• They are multiplied together.

What is the final polynomial derived from the zeros 4, -2, 2 - I, and 2 + I?

• X^3 + 8X^2 - 21X + 20

• X^3 + 8X^2 + 21X - 20

• X^3 - 8X^2 + 21X - 20

• X^3 - 8X^2 - 21X + 20