Polynomial addition and subtraction align terms with the same exponent, then combine their coefficients. Powers stay unchanged; only coefficients change. For subtraction, distribute the minus sign before simplifying.
⚠Note: Use 0 for missing middle terms when entering coefficients, especially for sparse polynomials like x³+2.
How Polynomial Combining Works
Handle each power of x separately, combining only terms that share the same exponent.
Align Powers
Write both polynomials so matching exponents are in the same column.
Add Coefficients
For addition, combine same-power coefficients directly.
Distribute Minus
For subtraction, change signs in the second polynomial first.
Simplify Zeros
Terms with coefficient 0 disappear from the final polynomial.
💡 Example: (3x³-2x+5)+(x²+4x-6)=3x³+x²+2x-1.
Applications of Polynomial Addition and Subtraction
Free online calculators and tools covering mathematics, unit conversion, text processing, and daily life. Accurate, fast, mobile-friendly, and completely free to use.