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Math Help - Solve the Polynomial Inequality

  1. #1
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    Solve the Polynomial Inequality

    I threw this equation into Mathway, but the answer wasn't correct. I have two tries at the question, so looking for some help. The equation is as follows:

    (x-10)(x+3)(x-2)^2 < 0

    Any suggestions?
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  2. #2
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    Re: Solve the Polynomial Inequality

    Hey AceBoogie.

    Hint: Try looking at values left and right of the zeroes (i.e. 10, -3, and 2) and see when you get a negative or a positive answer.

    Then use this to get the regions when < 0 and you're done. (For example if f(x) = (x-10)(x+3)(x-2)^2 and f(1) < 0 then the interval [-3,2] is <= 0 since 1 is between -3 and 2).
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    Re: Solve the Polynomial Inequality

    I think I am trying to set up the equation so the x values will make the equation = 0. In this case would the answer be:

    (-3,2)U(2,10)?
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    Re: Solve the Polynomial Inequality

    Quote Originally Posted by AceBoogie View Post
    I threw this equation into Mathway, but the answer wasn't correct. I have two tries at the question, so looking for some help. The equation is as follows:

    (x-10)(x+3)(x-2)^2 < 0
    I have a different take on this.

    Because (x-2)^2\ge 0 the only case we cannot have x=2 .

    So we need (x-10)(x+3)<0 with x\ne 2
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