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calculus

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solve the following inequality. write your solution in interval notation.

x^3+9x^2-108 less than or equal to 0

please show all work

  • calculus - ,

    Get you started you have to start by guessing
    X=3 works
    Then do long division
    Answer will be x^2+12x+36
    Factor
    (X+6)(x+6)
    3and -6 are your critical values
    Now you have to test the different regions

  • calculus - ,

    how do I test the different regions??

  • calculus - ,

    Just pick a number in the region
    Plug back into the function
    Neg ans means less than 0
    Pos ans means greater than 0

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