多項式 | 次数 | 種類 | 性質と例
多項式、その次数、種類、性質、例を理解する
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
レッスン
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