Calculate P(x) from coefficients and a chosen x value
Polynomial evaluation means substituting a specific number for x and simplifying the expression until a single value remains. For coefficient input, each coefficient belongs to a descending power of x, from the highest degree down to the constant term. This calculator also uses Horner method, which rewrites the same calculation as repeated multiplication and addition, making long polynomials faster and easier to evaluate accurately.
Polynomial evaluation finds the output value of a polynomial for a specific input. It can be done by direct substitution or by Horner method, which is faster and cleaner for long coefficient lists.
Replace x by the chosen value and simplify.
Repeatedly multiply by x and add the next coefficient.
The final result is written as P(x), such as P(2)=9.
P(c) is also the remainder when dividing by x-c.
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