# Remainder Theorem Calculator

The calculator will calculate $$f(a)$$$using the remainder (little Bézout's) theorem, with steps shown. Enter a polynomial: Enter the point a: If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below. ## Solution Your input: find $$f\left(3\right)$$$ for $$f\left(x\right)=x^{3} - x^{2} + 2 x + 7$$$. According to the remainder theorem, $$f(a)$$$ is the remainder from dividing $$f(x)$$$by $$x-a$$$.

Thus, to find $$f\left(3\right)$$$, find the remainder from dividing $$x^{3} - x^{2} + 2 x + 7$$$ by $$x - 3$$$. For this, use the synthetic division calculator. The remainder is $$31$$$, therefore, $$f\left(3\right)=31$$$. Answer: $$f\left(3\right)=31$$$.