Given One Zero or Factor Find the Remaining Zeros

The video tutorial explains how to find zeros of a polynomial, particularly when given a complex zero. It covers the importance of including the complex conjugate, rewriting zeros as factors, and using the difference of squares. The tutorial also demonstrates long division of polynomials to find remaining factors, providing a step-by-step approach to solving polynomial equations.

What is the degree of the polynomial discussed in the video?

• 3

• 2

• 5

• 4

Why is it necessary to include the complex conjugate when given a complex zero?

• To ensure the polynomial remains real

• To increase the degree of the polynomial

• To find the derivative of the polynomial

• To simplify the polynomial

What mathematical property is used to simplify the factors in the video?

• Associative Property

• Commutative Property

• Difference of Squares

• Distributive Property

What is the result of multiplying the first two terms of the factors?

• X^2 - 10X + 25

• X^2 + 10X + 25

• X^2 - 5X + 10

• X^2 + 5X + 10

What method is used to divide the polynomial by the factor obtained from the zeros?

• Synthetic Division

• Factorization

• Long Division

• Partial Fraction Decomposition

What is the final zero found after applying long division?

• 3

• 5

• -3

• -5

What is the purpose of finding the final zero in the context of the video?

• To complete the factorization of the polynomial

• To verify the polynomial's degree

• To simplify the polynomial

• To find the polynomial's derivative