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Solve Polynomial Inequality (In Factored Form) Use Boundary Points & Interval Notation
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The polynomial inequality, (x+6)(x-5)^2 is less than zero, is given in factored form. The zeros (boundary points) of the associated equation are found and plotted on the number line. The boundary points divide the number line into 3 regions. Test points are chosen in each region and the inequality is evaluated at each test point. If the inequality is true then that region is part of the solution set. The answer is written in interval notation.
Timestamps:
0:00 Introduction
0:30 Finding Boundary Points
1:55 Intervals on Number Line
2:45 Test Values in Each Region
6:17 Interval Notation
Timestamps:
0:00 Introduction
0:30 Finding Boundary Points
1:55 Intervals on Number Line
2:45 Test Values in Each Region
6:17 Interval Notation