7H - Solving polynomial inequations
Solving using a CAS calculator:
Cubic inequations can be solved using the solve command on the CAS calculator. To use the command:
Cubic inequations can be solved using the solve command on the CAS calculator. To use the command:
Highlight the equation → Interactive → Equation/inequality → Solve
- Make sure the variable you are solving for is listed on the screen (use the Var keyboard).
- Inequality signs (\(<\), \(\leq\), \(>\), \(\geq\)) can be found in the Math3 keyboard.
7H - Example 1: Solving polynomial inequations (CAS)
With the assistance of a CAS calculator, solve the cubic inequation \(2x^3-11x>3x^2-6\) for \(x\).
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7H - Example 1: Video solution
7H - Example 1: Practice
Question 1: ABC Question 2: ABC 7H - Example 1: Solutions
Question 1: ABC Question 2: ABC |
Solving polynomial inequations by-hand:
When solving cubic (or quartic) inequations by hand, it is more complex than linear inequations. In fact, the method we use is very similar to solving quadratic inequations. To solve polynomial inequalities, use the following steps:
When solving cubic (or quartic) inequations by hand, it is more complex than linear inequations. In fact, the method we use is very similar to solving quadratic inequations. To solve polynomial inequalities, use the following steps:
- Solve the cubic inequality as a regular equation.
- Graph the cubic function.
- Determine which interval(s) satisfy the inequality from the graph.
7H - Example 2: Solving polynomial inequations
By first graphing the cubic function, solve the inequality \(x^3-3x^2-10x\leq 0\) for \(x\).
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7H - Example 2: Video solution
7H - Example 2: Practice
Question 1: ABC Question 2: ABC 7H - Example 2: Solutions
Question 1: ABC Question 2: ABC |