algeb collage

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solve the inequality,express using interval notation

x3-5x2-14x>0

  • algeb collage -

    First factor it and rewrite as
    x (x-7)(x+2) > 0

    The function crosses the y axis at x = -2, x=0 and x=7

    When x<-2 all three factors are negative, so the function is <0 there

    The -2<x<0, two factors are negative and one is postive, so the inequality is satisfied.

    Cosider also the regions 0<x<7 and x>7 and figure out if the fucntiuon is postive or negative there.

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