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Calculus I help?

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Kaulus7
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« on: November 22, 2009, 10:10:47 pm »
I could probably do this myself but my mind is addled and I need to go to bed early so...

For what values of c does the polynomial P(x)=x4+cx3+x2 have two inflection points? One inflection point? None? Illustrate by graphing P for several values of c. How does the graph change as c decreases?

I know that second derivative is the first step (I hope it is...). But how would I go about to determining the values of c? Guess and check is an option, but I don't think that's what my instructors had in mind...
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Alright, you load the blaster, I fire it.
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