# How do you use the rational roots theorem to find all possible zeros of #f(x) = 6x^4 + 4x^3 - 2x^2 + 2#?

##### 1 Answer

Mar 31, 2016

There are no Real zeros for the given equation.

#### Explanation:

If we attempt to use the Rational Root Theorem by testing

in

the candidate values would be:

but as indicated in the table below, none of these give a zero result:

Therefore there are no rational zeros for this expression.

In fact, if we consider the graph for this expression, we can see that it has no Real zeros.

graph{6x^4+4x^3-2x+2 [-8.036, 9.754, -0.84, 8.05]}