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^3-7x^2+x-7#?
1 Answer
Explanation:
The sign pattern of
The sign pattern of
The rational roots theorem tells us that we can find all rational roots to a polynomial by dividing
We also don't need to bother checking the negative roots, since Descartes' rule of signs told us there are no negative roots.
After checking
Now we can solve for when the second factor equals
Now that we have all the zeroes we can see that our original conclusions with Descartes' rule were correct. We only got