# How do you use the Rational Zeros theorem to make a list of all possible rational zeros, and use the Descarte's rule of signs to list the possible positive/negative zeros of #f(x)=x^3+4x^2-11x+6#?

##### 1 Answer

#### Explanation:

The pattern of signs of

We then look at the pattern of

The rational roots theorem says that we can find all possible rational roots of a polynomial by dividing

I will start by looking at the negative values, since we know for a fact the polynomial has a negative root. Of these, we find that

The quadratic we just factored out is in the form of the expansion of

This means that