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The function f(x)=x^3-5x^2-2x=24 is positive for what parts of its domain?

Mathematics
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Well in this situation the best thing to do would be to simplify it.. into factors. then you have ranges of test cases to test whether a number is positive in that range
can you factor it?
yep! thanks!

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Other answers:

is it \[ f(x)=x^3-5x^2-2x+24\]
yeah!
did you factor? once you have the three zeros, because this is a third degree polynomial with positive leading coefficient you know it will be negative, then positive, then negative, then positive
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but that doesnt work right?
hmm i can factor this one out give me a second
I think what you meant to do was \[(x+2)(x-3)(x-4)\]
This gives you the ranges of \[(-\infty, -2) : (-2,3) : (3,4) :( 4,\infty)\]
Then you can just plug a number from each of those ranges in between and just look at the sign.
That'll tell you if it's in the positive range or not
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okay thanks!

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