Given a Complex Zero, Write the Remaining Zeros of the Function Using Long Division

The video tutorial explains how to find zeros of a polynomial, focusing on imaginary numbers and their products. It demonstrates multiplying factors and using long division to simplify polynomials. The tutorial concludes with finding additional zeros using square roots, emphasizing the importance of understanding polynomial factors and zeros.

If a complex number is a zero of a polynomial, what can be said about its conjugate?

• It is also a zero.

• It is irrelevant.

• It is not a zero.

• It is a factor.

What method can be used to multiply the factors derived from zeros?

• Box method

• Substitution

• Graphing

• Synthetic division

What is the purpose of polynomial long division in this context?

• To graph the polynomial

• To integrate the polynomial

• To simplify the polynomial and find additional factors

• To find the derivative

How do you find the remaining zeros of a polynomial after factoring?

• By subtracting the factors

• By setting the factors equal to zero

• By multiplying the factors

• By adding the factors

What are the zeros of the polynomial discussed in the video?

• i, -i, 2i, -2i

• 2, -2, 3, -3

• 1 + i, 1 - i, sqrt(3), -sqrt(3)

• 0, 1, 2, 3