Consider the function f(x)=x3+6x2+11x+6.

If f(x)=0 for x=−3, for what other values of x is the function equal to 0? List the values separated by commas. Do not include the zero x=−3 in your answer.

Solution:

Given function is:

We have to find values of x for which the function is equal to 0

Find the zeros of function

Thus the zeros are:

x = -1

x = -2

x = -3

Thus for x = -1, -2, -3 the function f(x) is equal to 0