SOLUTION: create a polynomial function with the following charateristics and persuade your reader that your polynomial really does work work as intended! there is more than one possible solu

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: create a polynomial function with the following charateristics and persuade your reader that your polynomial really does work work as intended! there is more than one possible solu      Log On


   

Question 479485: create a polynomial function with the following charateristics and persuade your reader that your polynomial really does work work as intended! there is more than one possible solution.
A. odd degree B. as x is postive infintie and y is neg infinte C. at least two roots each with a odd multiplicty D. y intercept is negative..... 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
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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%28400%2C400%2C-10%2C10%2C-4%2C4%2C-%28x%2B1%29%5E3%2A%28x-2%29%5E3%2A%28x-3%29%5E3%29
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Cheers,
Stan H.