How to enter polynomials
- Use ^ for powers, e.g., x^5.
- Fractions are allowed: 1/2x^3 - 3/4x.
- Decimals are allowed: 0.25x^2 - 0.1.
- Missing terms are handled: x^4 - 1 means all middle coefficients are zero.
- Choose any variable symbol (default is x).
FAQs
1) What formats does the calculator accept?
You can use any single-letter variable, integers, decimals, or fractions. Spaces are optional. Use the caret symbol for exponents, for example x^3.
2) How are missing terms handled?
Missing powers are treated as zeros automatically. The engine fills gaps so long division proceeds correctly.
3) Can I see a step-by-step solution?
Yes. Enable “Show steps” to view the tableau: the leading-term division, the multiple of the divisor, and the subtraction at each iteration.
4) When is synthetic division shown?
If the divisor has degree 1 (like ax + b), turning on the option also displays a synthetic division table using the root −b/a. The remainder is rescaled by the leading coefficient.
5) What output formats are available?
Choose decimal with your preferred precision or fraction output. Fractions are simplified using rational approximation with a bounded denominator.
6) What happens if I divide by the zero polynomial?
The tool prevents division by a zero divisor and reports a clear error message. Please enter a valid non‑zero divisor.
7) How can I verify the result?
We display a check identity: Dividend = Divisor × Quotient + Remainder. You can expand the product to confirm it matches the original dividend.