ClarityHow to use this tool
- Enter dividend coefficients, divisor coefficients.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
The method, explained
Divide leading terms, subtract the aligned multiple of the divisor and repeat until the remainder degree is lower than the divisor degree.
Using dividend coefficients = 1, -3, 2, divisor coefficients = 1, -1, the result is Quotient: 1, -2. Change these example inputs to match your task; use the method above to check each step.
Understanding your result
The quotient is zero and the remainder is the original dividend. The same identity still holds without forcing a fractional polynomial expression.
What to keep in mind
Lists are highest-power first. Floating-point division can leave tiny roundoff remainders; degree is limited to 30. Finite-precision arithmetic is used. Check the domain and the stated convention before using an approximation.
Common questions
What if the divisor has higher degree?
The quotient is zero and the remainder is the original dividend. The same identity still holds without forcing a fractional polynomial expression.
How can I check the result?
Divide leading terms, subtract the aligned multiple of the divisor and repeat until the remainder degree is lower than the divisor degree. The worked example uses editable inputs. Calculations run on your device; no external API or account is required.
Methodology maintained by ClarityKit. How these tools are built and checked.