anonymous
  • anonymous
The function f(x)=x^3-5x^2-2x=24 is positive for what parts of its domain?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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
anonymous
  • anonymous
can you factor it?
anonymous
  • anonymous
yep! thanks!

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anonymous
  • anonymous
is it \[ f(x)=x^3-5x^2-2x+24\]
anonymous
  • anonymous
yeah!
anonymous
  • anonymous
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
anonymous
  • anonymous
|dw:1353208613053:dw|
anonymous
  • anonymous
|dw:1353208683477:dw|
anonymous
  • anonymous
but that doesnt work right?
anonymous
  • anonymous
hmm i can factor this one out give me a second
anonymous
  • anonymous
I think what you meant to do was \[(x+2)(x-3)(x-4)\]
anonymous
  • anonymous
This gives you the ranges of \[(-\infty, -2) : (-2,3) : (3,4) :( 4,\infty)\]
anonymous
  • anonymous
Then you can just plug a number from each of those ranges in between and just look at the sign.
anonymous
  • anonymous
That'll tell you if it's in the positive range or not
anonymous
  • anonymous
|dw:1353216271826:dw|
anonymous
  • anonymous
okay thanks!

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