Solve and Graph Polynomial Inequalities - Pre-Calculus
Card 0 of 4
What is the solution to the following inequality?
What is the solution to the following inequality?
Tap to see back →
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 
.
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:
-
-
-
-
Hence the two regions we want are
What is the solution to the following inequality?
What is the solution to the following inequality?
Tap to see back →
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 .
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:
-
-
-
-
Hence the two regions we want are
What is the solution to the following inequality?
What is the solution to the following inequality?
Tap to see back →
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 .
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:
-
-
-
-
Hence the two regions we want are
What is the solution to the following inequality?
What is the solution to the following inequality?
Tap to see back →
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 .
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:
-
-
-
-
Hence the two regions we want are