Question 1176783: Use the Intermediate Value Theorem to show that the polynomial f(x)=x3+x2−3x+9 has a real zero between −4 and -2 Answer by ikleyn(52781) (Show Source):
Calculate the values of the given polynomial at both end-points of the interval.
If the values are of different signs, you can apply the Intermediate Value Theorem and to state
that the polynomial has a real zero inside the given interval.