How do you use synthetic division to find f(sqrt{3}) if f(x)=2x^3-6x+5?

1 Answer
Oct 8, 2015

This can be solved using The Remainder Theorem of synthetic division which is explained very well here.

Explanation:

In this case we would just do synthetic division using the value sqrt(3) and the value of f(x) at that x value will be the remainder, r(x).

I am not too sure how to show the synthetic division step by step on here so that link should prove very useful.

In this case if you did everything right, q(x) should equal 2x^3 + 2sqrt3x^2 and the most important part, r(x), should equal 5.