Polynomial Division Calculator
Result
Polynomial Synthetic Division Synthetic Division for polynomials. Formula: Divide ax³+bx²+cx+d by (x−k) using synthetic division algorithm. — free online calculator.
Formula
- Polynomial Division Calculator calculates its result from a3, a2, a1, a0, k. It uses the formula Calculated with the verified ST Calculator runtime.. Change any input to recalculate the result instantly.
- The main inputs are a3, a2, a1, a0, k. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Polynomial Division
- a3: 1
- a2: -6
- a1: 11
- a0: -6
- k: 1
Using a3 = 1, a2 = -6, a1 = 11, a0 = -6, k = 1, the calculated result is q2: 1 | q1: -5 | q0: 6 | remainder: 0.
Sample result: Calculating…
Frequently asked questions
What does the Polynomial Division calculate?
Polynomial Synthetic Division Synthetic Division for polynomials. Formula: Divide ax³+bx²+cx+d by (x−k) using synthetic division algorithm. — free online calculator.
Which values should I enter?
Enter a3, a2, a1, a0, k using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Synthetic division of a3x³ + a2x² + a1x + a0 by (x − k): q2 = a3; q1 = a2 + kq2; q0 = a1 + kq1; remainder = a0 + kq0. Quotient = q2x² + q1x + q0. Limited to cubic polynomials divided by a monic linear divisor..
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.