Roots Calculator
A polynomial is defined as a type of expression in which the exponents of the variable should be a whole number.
What is Roots Calculator?
'Cuemath's Roots Calculator' is an online tool that helps to calculate the roots of a given polynomial. Cuemath's online Roots Calculator helps you to calculate the roots of a given polynomial in a few seconds.
NOTE: Enter a polynomial only in terms of x only.
Enter a polynomial upto 5th degree only.
How to Use Roots Calculator?
Please follow the steps below to find the roots of a given polynomial:
 Step 1: Enter the polynomial in the given input boxes.
 Step 2: Click on the "calculate" button to find the roots of a given polynomial.
 Step 3: Click on the "Reset" button to clear the fields and solve for different polynomials.
How to Find Roots Calculator?
A polynomial with a degree of 1 is known as a linear polynomial
A polynomial with a degree of 2 is known as a quadratic polynomial.
A polynomial with a degree of 3 is known as a cubic polynomial.
A polynomial with a degree of 4 is known as a quartic polynomial.
A polynomial with a degree of 5 is known as a quintic polynomial.
A polynomial with a degree(n) greater than 5 is known as an nth degree polynomial.
A polynomial with any degree equates it to zero and finds the roots of a given polynomial.
The word "Quadratic" is derived from the word "Quad" which means square. In other words, a quadratic equation is an “equation of degree 2”
An equation of the form ax^{2 }+ bx + c = 0, where a≠0 is called a quadratic equation and a, b, c are coefficients of the quadratic equation.
To solve the quadratic equation, we need to find the roots of a given quadratic equation, we use the discriminant formula given by:
\(x = {b \pm \sqrt{b^24ac} \over 2a}\)
Solved examples on roots calculator

Example1:
Solve the given linear equation 3x + 5 = 0
Solution:
3x + 5 = 0
3x = 5
x = 5 / 3 
Example2:
Solve the quadratic equation x^{2} + 5x + 6 =0
Solution:
Given: a = 1, b = 5, c = 6
\(x = {b \pm \sqrt{b^24ac} \over 2a}\)
\(x = {5 \pm \sqrt{5^224} \over 2}\)
\(x = {4 \over 2}, {6 \over 2}\)
\(x= {2},{3}\)

Example3:
Find roots of given polynomial x^{3}  27 = 0
Solution:
x^{3}  27 = 0
x^{3} = 27
x = 3
Similarly, you can try the calculator to find the roots for the following:
 2x^{3} + x − 3 = 0
 x^{4} + 10x^{3}  5x − 11 = 0