2. Topic 2(COLON) Algebra, Functions and Their Graphs

Lesson 2.2: Roots Of Polynomial Equations — Quiz

Test your understanding of lesson 2.2: roots of polynomial equations with 5 practice questions.

Practice Questions

Question 1

What is the sum of the roots of the quadratic equation $x^2 - 5x + 6 = 0$?

Question 2

For the cubic equation $x^3 - 3x^2 + 3x - 1 = 0$, what is the product of the roots?

Question 3

If the roots of a quadratic are $2$ and $3$, what is the value of $\Sigma\alpha^2$?

Question 4

For the quadratic equation $x^2 + 4x + 4 = 0$, what is the sum of the roots?

Question 5

In a cubic equation, if the sum of the roots is $-3$ and the product of the roots is $-8$, which of the following is correct for these roots?