Polynomial Calculator
This calculator evaluates polynomials up to degree 5. Enter the coefficients and a value for x, and it calculates the polynomial's value at that point.
Polynomial form
P(x) = a5*x^5 + a4*x^4 + a3*x^3 + a2*x^2 + a1*x + a0
Evaluation: substitute x value and calculate
Polynomials: frequently asked questions
What is a polynomial?
A polynomial is a sum of powers of x with coefficients: a_n*x^n + ... + a_1*x + a_0. The degree is the highest power of x.
How do I enter a polynomial?
Enter coefficients from highest degree to lowest. For x^3 - 2x + 5, enter 1, 0, -2, 5.
What is the degree of a polynomial?
The degree is the highest power of x with a non-zero coefficient. For 3x^2 - x + 2, the degree is 2.
What is the leading coefficient?
The leading coefficient is the coefficient of the highest degree term. For 3x^2 - x + 2, the leading coefficient is 3.
Can I evaluate a polynomial at any value?
Yes, you can evaluate a polynomial at any real number. Substitute the value for x and calculate.
Methodology
Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026.