# Use the Rational Zeros Theorem to find the possible zeros of the following polynomial function: #f(x)=2x^3-9^2+10x-3#?

##### 1 Answer

Feb 27, 2016

First, I always like to start off the rational root theorem by using x = 1.

This is because it is very easy to quickly count a possibility: just count the coefficients.

So we do

And from there we were able to quickly find a root,

Now, we just synthetically divide

x1 2 -9 10 -3

2 -7 3

Result 2 -7 3 0

So now, after dividing by

If you see the factors, you can just factor it. Otherwise, use the quadratic formula

So we have either 3 or 1/2.

Do not forget the **1/2, 1, and 3**