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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 .
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