Precalculus : Solve and Graph Polynomial Inequalities

Study concepts, example questions & explanations for Precalculus

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Solving Polynomial And Rational Inequalities

 

 

What is the solution to the following inequality?

Possible Answers:

Correct answer:

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 .

 

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: