Question

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

Answer 1

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`.