The real solutions of the given equation are rational. List all possible rational roots using the Rational Zeros Theorem, and then graph the polynomial in the given viewing rectangle to determine which values are actually solutions. (All solutions can be seen in the given viewing rectangle.)
$$x^{3}-3 x^{2}-4 x+12=0 ; \quad[-4,4] \text { by }[-15,15]$$
Polynomial and Rational Functions
Complex Zeros and the Fundamental…