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#?
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