1. Number and Algebra

Complex Roots Of Polynomials — Quiz

Test your understanding of complex roots of polynomials with 5 practice questions.

Practice Questions

Question 1

What is the main idea of the complex root theorem for polynomials with real coefficients?

Question 2

Which number is the complex conjugate of $3-4i$?

Question 3

If $i$ is a root of a polynomial with real coefficients, which other root must also be present?

Question 4

What is the product of the conjugate pair $(x-(2+3i))(x-(2-3i))$?

Question 5

A polynomial with real coefficients has roots $2$, $-1$, and $3+i$. Which root must also be included?