Solve and Graph Polynomial Inequalities
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Pre-Calculus › Solve and Graph Polynomial Inequalities
Questions 1 - 1
1
What is the solution to the following inequality?
Explanation
First, we must solve for the roots of the cubic polynomial equation.
We obtain that the roots are .
Now there are four regions created by these numbers:
-
. In this region, the values of the polynomial are negative (i.e.plug in
and you obtain
-
. In this region, the values of the polynomial are positive (when
, polynomial evaluates to
)
-
. In this region the polynomial switches again to negative.
-
. In this region the values of the polynomial are positive
Hence the two regions we want are and
.