Solving polynomial inequalities

Solving polynomial inequalities

Lessons

  • 1.
    Solving Linear Inequalities
    Solve:
    a)
    3x10 3x-10 > 11 11

    b)
    52x13 5-2x \leq 13


  • 2.
    Solving Quadratic Inequalities
    Solve each inequality
    i)
    graphically
    ii)
    algebraically using test intervals.
    a)
    2x2x150 2x^2-x-15 \geq 0

    b)
    5x210x+40 -5x^2-10x+40 > 00


  • 3.
    Solving Higher Degree Polynomial Inequalities:
    Solve:
    a)
    23(x+5)(x4)3(x3)8(x+2)110 23(x+5)(x-4)^3(x-3)^8(x+2)^{11} \geq 0

    b)
    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