Algebra & Equations
Remainder Theorem
Remainder of p(x) divided by (x − r) equals p(r).
Formula
Formula
remainder = p(r)
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| cₖ | polynomial coefficients | list of real numbers | — | input |
| r | divisor root | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givencoefficients = 1, -2, 0, 4, r = 2
Result4
Example 2
Givencoefficients = 1, 0, -9, r = 3
Result0