The inequality is .

The inequality can be written as .

Identify Possible Rational Zero:

Usually it is not practical to test all possible zeros of a polynomial function using only synthetic substitution. The Rational Zero Theorem can be used for finding the some possible zeros to test.

The function is .

Because the leading coefficient is , the possible rational zeros are the intezer factors of the constant term .

or

.

Therefore, the possible rational zeros of are

.

Now preform the synthetic division method by testing .

Since ,  conclude that is a zero of .

Therefore is a rational zero.

The depressed polynomial is .

Consider the depressed polynomial .

Now preform the synthetic division method by testing .

Since ,  conclude that is a zero of .

Therefore is a rational zero.

The remaining quadratic factor is can be written as .

The factored form of is .

Therefore the zeros are and .

Create a sign chart using the values and .

Note : The hallow circle denote that the value are included in the solution set. \ \

Observe the sign chart :

The set of value of denoted in blue color represents the solution set.

Determine whether is positive or negative on the test intervals.

Test intervals are and .

If then

If then .

If then .

If then .

If then .

The solutions of are values for which is positive.

The solution set is .

The solution set of is .