5. Algebra and Systems

Polynomial Roots — Quiz

Test your understanding of polynomial roots with 5 practice questions.

Practice Questions

Question 1

Which of the following is a root of the polynomial $P(x) = x^3 - 4x^2 + 5x - 2$?

Question 2

According to the Factor Theorem, which of the following is a factor of the polynomial $Q(x) = x^3 - 7x + 6$ if $x = 2$ is a root?

Question 3

Using synthetic division, what is the quotient when dividing $x^3 - 6x^2 + 11x - 6$ by $x - 1$?

Question 4

Which of the following represents the complete set of real roots for the polynomial $f(x) = x^3 - 4x$?

Question 5

What is the remainder when $P(x) = 2x^4 - 3x^3 + 5x - 7$ is divided by $x - 2$?