📊 Polynomial Graphing Calculator

Evaluate and analyze polynomial functions

Enter degree (0-10)

Coefficients (from highest to lowest power)

x^2:
x^1:
x^0:

Leave blank to just display the polynomial

How to Use This Calculator

1

Enter Degree

Input the degree of the polynomial (0-10).

2

Enter Coefficients

Input coefficients from highest power to lowest power (e.g., for ax² + bx + c, enter a, b, c).

3

Evaluate (Optional)

Optionally enter an x-value to evaluate the polynomial at that point.

Formula

General form: f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀

where n is the degree and aₙ, aₙ₋₁, ..., a₁, a₀ are coefficients

Example: Degree 2, coefficients [1, -3, 2] gives f(x) = x² - 3x + 2

At x = 2: f(2) = 2² - 3(2) + 2 = 4 - 6 + 2 = 0

About Polynomial Graphing Calculator

The Polynomial Graphing Calculator evaluates polynomial functions and displays their equations. Polynomials are expressions of the form f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀.

When to Use This Calculator

  • Algebra: Evaluate polynomial functions
  • Mathematics: Analyze polynomial behavior
  • Education: Learn polynomial concepts

Frequently Asked Questions

What is a polynomial?

A polynomial is an expression of the form f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀, where n is a non-negative integer and a₀, a₁, ..., aₙ are coefficients. Examples: x² + 3x - 2 (degree 2), 5x³ - x + 1 (degree 3).

How do I enter coefficients?

Enter coefficients from highest power to lowest. For example, for x² + 3x - 2, enter coefficient of x²: 1, coefficient of x: 3, constant: -2.