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madelyn97
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The function f(x)=x^35x^22x=24 is positive for what parts of its domain?
 one year ago
 one year ago
madelyn97 Group Title
The function f(x)=x^35x^22x=24 is positive for what parts of its domain?
 one year ago
 one year ago

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Freyes Group TitleBest ResponseYou've already chosen the best response.1
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
 one year ago

Freyes Group TitleBest ResponseYou've already chosen the best response.1
can you factor it?
 one year ago

madelyn97 Group TitleBest ResponseYou've already chosen the best response.0
yep! thanks!
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
is it \[ f(x)=x^35x^22x+24\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
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
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
dw:1353208613053:dw
 one year ago

madelyn97 Group TitleBest ResponseYou've already chosen the best response.0
dw:1353208683477:dw
 one year ago

madelyn97 Group TitleBest ResponseYou've already chosen the best response.0
but that doesnt work right?
 one year ago

Freyes Group TitleBest ResponseYou've already chosen the best response.1
hmm i can factor this one out give me a second
 one year ago

Freyes Group TitleBest ResponseYou've already chosen the best response.1
I think what you meant to do was \[(x+2)(x3)(x4)\]
 one year ago

Freyes Group TitleBest ResponseYou've already chosen the best response.1
This gives you the ranges of \[(\infty, 2) : (2,3) : (3,4) :( 4,\infty)\]
 one year ago

Freyes Group TitleBest ResponseYou've already chosen the best response.1
Then you can just plug a number from each of those ranges in between and just look at the sign.
 one year ago

Freyes Group TitleBest ResponseYou've already chosen the best response.1
That'll tell you if it's in the positive range or not
 one year ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
dw:1353216271826:dw
 one year ago

madelyn97 Group TitleBest ResponseYou've already chosen the best response.0
okay thanks!
 one year ago
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