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Questions and Answers
What are the critical points in a polynomial inequality graph?
What are the critical points in a polynomial inequality graph?
Which of the following is true about polynomial inequalities with one variable?
Which of the following is true about polynomial inequalities with one variable?
How can graphs be helpful in solving polynomial inequalities?
How can graphs be helpful in solving polynomial inequalities?
What does it mean when (f(x) > 0) in a polynomial inequality?
What does it mean when (f(x) > 0) in a polynomial inequality?
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What does it mean when (f(x) < 0) in a polynomial inequality?
What does it mean when (f(x) < 0) in a polynomial inequality?
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Sign charts are used to solve polynomial inequalities with ______ variable.
Sign charts are used to solve polynomial inequalities with ______ variable.
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The ______ in a polynomial inequality graph are the only places where the graph may possibly change from being above the x-axis to below the x-axis.
The ______ in a polynomial inequality graph are the only places where the graph may possibly change from being above the x-axis to below the x-axis.
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In a polynomial inequality, when (f(x) > 0), it means that the function is ______ the x-axis.
In a polynomial inequality, when (f(x) > 0), it means that the function is ______ the x-axis.
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Graphs are helpful in providing a visualization to the solutions of ______ inequalities.
Graphs are helpful in providing a visualization to the solutions of ______ inequalities.
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In a polynomial inequality, when (f(x) < 0), it means that the function is ______ the x-axis.
In a polynomial inequality, when (f(x) < 0), it means that the function is ______ the x-axis.
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Study Notes
Solving Polynomial Inequalities
- A polynomial inequality is a mathematical statement that relates a polynomial expression as less than or greater than another.
- Sign charts can be used to solve polynomial inequalities with one variable.
- Graphs are helpful in providing a visualization to the solutions of polynomial inequalities.
Critical Points and Intervals
- Critical points are the x-intercepts of a polynomial graph, where the graph may possibly change from being above the x-axis to below the x-axis.
- In a graph, critical points are the only places where the function may change sign (from f(x) > 0 to f(x) < 0).
- Within each interval between two adjacent critical points, the function maintains the same sign (either f(x) > 0 or f(x) < 0).
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Description
Test your knowledge on solving polynomial and rational inequalities with this quiz. Explore the concepts and techniques used to solve polynomial inequalities and improve your algebra skills.
