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Math Help - solving

  1. #1
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    solving

    Solve for x, x є R using algebraic methods. Use a table to show your results.
    x^3 – 2x^2 – x + 2 > 0
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  2. #2
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    Quote Originally Posted by william View Post
    Solve for x, x є R using algebraic methods. Use a table to show your results.
    x^3 2x^2 x + 2 > 0
    factor by grouping ...

    x^3 - 2x^2 - x + 2 > 0

    x^2(x - 2) - (x - 2) > 0

    (x - 2)(x^2 - 1) > 0

    (x - 2)(x - 1)(x + 1) > 0

    critical values are x = 2 , x = 1, and x = -1

    check each interval between the critical values to determine which interval(s) make the inequality true.
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