Use the following function to answer parts a through c.

f(x)=x³+3x² -117x 119

a. List all rational zeros that are possible according to the Rational Zero Theorem.

(Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)

b. Use synthetic division to test several possible rational zeros in order to identify one actual zero.

One rational zero of the given function is

.

(Simplify your answer.)