Remainder Theorem


Output: Press calculate


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Formula: f(k) = ak^n + ... + a1*k + a0

The Remainder Theorem states that when a polynomial f(x) is divided by a linear divisor of the form (x - k), the remainder of this division is f(k). To apply this theorem using the formula provided, polynomial should be the coefficients of the polynomial provided as a space-separated string, ordered from the highest degree to the lowest (e.g., '3 -1 2' corresponds to 3x^2 - x + 2) and value is the constant k in the divisor (x - k). The JavaScript function first converts the polynomial string to an array of numbers, then evaluates the polynomial at the given value using the Horner's method (a efficient way to evaluate polynomials).

Tags: Algebra, Remainder Theorem, Polynomial Division