Solving polynomial inequalities




  1. What is an Inequality?



  1. Solving Linear Inequalities
    1. 3x10 3x-10 > 11 11
    2. 52x13 5-2x \leq 13
  2. Solving Quadratic Inequalities
    Solve each inequality
    algebraically using test intervals.
    1. 2x2x150 2x^2-x-15 \geq 0
    2. 5x210x+40 -5x^2-10x+40 > 00
  3. Solving Higher Degree Polynomial Inequalities:
    1. 23(x+5)(x4)3(x3)8(x+2)110 23(x+5)(x-4)^3(x-3)^8(x+2)^{11} \geq 0
    2. 23(x+5)(x4)3(x3)8(x+2)11 23(x+5)(x-4)^3(x-3)^8(x+2)^{11} < 00
  4. Factor First, then Solve Inequalities
    Solve: 2x4+3x3+18x217x300-2x^4+3x^3+18x^2-17x-30 \leq0

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