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Interactive Polynomials Visualization

Introduction

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents. Polynomials are fundamental in algebra and appear in many areas of mathematics.

Key Concepts:
  • Degree: The highest power of the variable in the polynomial
  • Terms: Individual parts of a polynomial separated by + or -
  • Coefficients: Numbers multiplying the variables
  • Roots/Zeros: Values of x where the polynomial equals zero
  • Types: Linear (degree 1), Quadratic (degree 2), Cubic (degree 3), etc.

How to Use

  • Select a polynomial type from the dropdown to see different examples
  • Use the x-value slider to evaluate the polynomial at different points
  • View the graph to see how the polynomial behaves across different x values
  • Roots (zeros) are marked in red where the polynomial crosses the x-axis
  • Check the value table to see multiple input-output pairs
  • For custom polynomials, enter expressions like "x^2 - 3x + 2" or "x^3 + 2x - 1"

Polynomial Information

Expression: P(x) = x^2 -3x + 2

Type: Quadratic

Degree: 2

Roots: 2.00, 1.00

P(0.0) = 2.0000

Graph: y = x^2 -3x + 2

Polynomial Curve
Roots (Zeros)
Current Point

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