Give One Imaginary Zero Find the Remaining Zeros

The video tutorial explains how to prove a number is a zero using synthetic division and the remainder theorem. It provides a detailed walkthrough of synthetic division, especially with complex numbers, and emphasizes the importance of understanding zeros in polynomials. The tutorial also covers the process of finding all zeros, including complex and real zeros, and concludes with advice on practice.

Which method can be used to prove that a number is a zero of a polynomial?

• Substitution method

• Synthetic division

• Long division

• Graphical method

What is the result of multiplying 2i by -1?

• -2

• 2i

• -2i

• 2

If 2i is a zero of a polynomial, what else must be a zero?

• -i

• i

• -2i

• 2

How many zeros does a polynomial with four linear factors have?

• 2

• 3

• 4

• 5

What is the importance of factoring a polynomial completely?

• To find the degree of the polynomial

• To identify all possible zeros

• To simplify the polynomial

• To determine the leading coefficient