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Math Help - solving inequality

  1. #1
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    solving inequality

    1. solve for x, xER using algebraic methods. Use a table to show your results.

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

    Can someone please guide me on this one?
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    Hello,
    Quote Originally Posted by william View Post
    1. solve for x, xER using algebraic methods. Use a table to show your results.

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

    Can someone please guide me on this one?
    Factor x^3-2x^2-x+2
    you can see that 1 is a root of this polynomial. Thus (x-1) is a factor of the polynomial.

    solve for a,b in x^3-2x^2-x+2=(x-1)(x^2+ax+b)

    you'll get two roots, p and q :
    x^3-2x^2-x+2=(x-1)(x-p)(x-q)
    (p=-1 and q=2)

    then make a table, like they said :
    between - infinity and -1, (x-1)<0, (x+1)<0, (x-2)<0, so the polynomial is...
    between -1 and 1, ...
    between 1 and 2, ...
    between 2 and infinity, ...

    if you have no idea on how to do this, just say it here, but please try to think about it
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