Lesson: Real and Complex Roots of Polynomials Mathematics

In this lesson, we will learn how to find the number and type of roots of polynomials and how to find unknown coefficients if the roots are given.

Lesson Video

Q1:

If is a root of the polynomial , what is the value of ?

Q2:

Does the polynomial , where is nonzero and all the coefficients are real, have at least one real root?

Q3:

If is a root of the equation , where is a polynomial with real coefficients, which other complex number must also be a root?