Simplify, compare, and evaluate expressions using polynomial tools. Review coefficients, degrees, remainders, and derivatives clearly. Export every result quickly for reports, study, or sharing.
Use variable x. Example formats: x^3-2x+5, 2x^2+x-1, 4.5x^4-3x+8.
| Example Item | Value |
|---|---|
| Polynomial A | x^3 - 2x + 5 |
| Polynomial B | 2x^2 + x - 1 |
| x Value | 3 |
| A + B | x^3 + 2x^2 - x + 4 |
| A - B | x^3 - 2x^2 - 3x + 6 |
| A × B | 2x^5 + x^4 - 5x^3 + 8x^2 + 7x - 5 |
| Derivative of A | 3x^2 - 2 |
| A(3) | 26 |
Add like terms with the same exponent: (aₙxⁿ + bₙxⁿ) = (aₙ + bₙ)xⁿ.
Subtract matching coefficients by exponent: (aₙxⁿ - bₙxⁿ) = (aₙ - bₙ)xⁿ.
Multiply each term in A by each term in B, then combine like powers: (ax^m)(bx^n) = abx^(m+n).
Long division uses the leading term ratio repeatedly until the remainder degree becomes smaller than the divisor degree.
Differentiate each term using d/dx [ax^n] = anx^(n-1).
Integrate each term using ∫ ax^n dx = a·x^(n+1)/(n+1) + C, for n ≠ -1.
Substitute the chosen x value into the polynomial and sum all term values.
Enter Polynomial A using standard algebra form with variable x.
Optionally enter Polynomial B when you want addition, subtraction, multiplication, or division results between two expressions.
Optionally enter an x value to evaluate each polynomial numerically.
Choose decimal precision to control how many digits appear in the displayed results.
Click the calculate button. The result section will appear below the header and above the form.
Use the CSV or PDF buttons to export the result summary for study notes, reports, or documentation.
Use standard polynomial notation with x, such as x^3-2x+5 or 4x^4+0.5x^2-7. Avoid multiplication symbols and brackets.
No. Polynomial B is optional. You only need it for pairwise operations like addition, subtraction, multiplication, and division.
Yes. Enter any numeric x value, including decimals or negatives, and the calculator will compute A(x) and B(x) when available.
Yes. Matching exponents are combined automatically, so repeated powers are reduced into one clean coefficient per degree.
The calculator uses polynomial long division. It returns both quotient and remainder unless the divisor is the zero polynomial.
Yes. It differentiates and integrates each term of the entered polynomial and displays the indefinite integral with + C.
Yes. After calculation, use the CSV button for spreadsheet-style output or the PDF button for a clean shareable file.
This version accepts one-variable polynomials in x with non-negative integer exponents. It does not process trigonometric or fractional-power expressions.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.