Find all of the zeros of the function f(x) = x^3 + 5x^2 + 6x. if there is more than one answer, enter your answers as a comma separated list. if there are no zeros, enter none. enter exact answers, not decimal approximations. x =

There are more than one zero i.e. three zeros of the given polynomial.

            The zeros are:

We are given a function f(x) by:

We know that the zeros of the function f(x) are the possible values of x at which the function is equal to zero.

Hence, when f(x)=0 we have:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

here is the

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