Loading [MathJax]/jax/output/HTML-CSS/fonts/TeX/fontdata.js

Remainder Theorem-Rechner

Anwendung des Restsatzes Schritt für Schritt

Der Rechner berechnet f(a) mit Hilfe des Restsatzes (kleiner Bézout-Satz), wobei die Schritte angezeigt werden.

Enter a polynomial:

Enter the point :

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Solution

Your input: find f(3) for f(x)=x3x2+2x+7.

According to the remainder theorem, f(a) is the remainder from dividing f(x) by xa.

Thus, to find f(3), find the remainder from dividing x3x2+2x+7 by x3.

For this, use the synthetic division calculator.

The remainder is 31, therefore, f(3)=31.

Answer: f(3)=31.