Question 479485
Create a polynomial function with the following charateristics and persuade your reader that your polynomial really does work as intended! there is more than one possible solution.
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A. odd degree 
B. as x is positive infinite y is neg infinite 
C. at least two roots each with a odd multiplicity 
D. y intercept is negative..... 
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I know that the leading coeffiecent has to be - and x has to be raised to an odd number but i am having trouble figuring out the rest of it
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C implies (x-2)^3*(x-3)^3
A forces (x+1)^3*(x-2)^3(x-3)^3
B forces -(x+1)^3*(x-2)^3*(x-3)^3
D forces:: If x = 0, y <0 ; done

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{{{graph(400,400,-10,10,-4,4,-(x+1)^3*(x-2)^3*(x-3)^3)}}}
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Cheers,
Stan H.