Combine like terms
Combine two polynomials
FOIL or distribution
Long division with remainder
3x^2 - 5x + 2
- Use ^ for exponents: x^2, x^3
- Use * for multiplication (optional)
- Spaces are ignored
- Supports +, -, decimal coefficients
A polynomial is a mathematical expression consisting of variables (also called indeterminates) and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents. For example, 3x² - 5x + 2 is a polynomial with three terms. The highest exponent determines the polynomial's degree, which affects its behavior and the number of possible roots.
Addition & Subtraction: Combine like terms (terms with the same variable and exponent).
Multiplication: Use the distributive property (FOIL for binomials) and combine like terms.
Division: Use polynomial long division to find the quotient and remainder.
Factoring: Express the polynomial as a product of simpler polynomials.
Disclaimer
This polynomial calculator performs symbolic and numeric operations based on standard algebraic rules. Results may vary for higher-degree or complex polynomials. For advanced mathematical work, please verify results with a computer algebra system.