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Math Help - Create a polynomial function with certain characteristics

  1. #1
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    Create a polynomial function with certain characteristics

    Design a polynomial function with the following characteristics. Show work.

    • degree of 6
    • four real zeros
    • one real zero of multiplicity of 3
    • y-intercept at 3
    • behaves like f(x) = -5x^6 for large values of |x| (end behavior)
    I was able to create a polynomial function by just multiplying -(x-3)(x-3)(x+1)(x-1)(x+2)(x-2) but I can't make it to where the y-intercept is at 3. Got any ideas?
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  2. #2
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    NVM...I got. I made a stupid mistake.
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