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Tuesday, April 10, 2018

Problem of the Week 4-10-18: Polynomial Zero's [Polynomials]

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1 comment:

  1. DaveApril 10, 2018 at 10:21 AM

    If x is a root of P and P(P(P(x))):

    P(x)=0
    P(P(x))=c
    P(P(P(x)))=c^2+bc+c=c(c+b+1)=0

    We can easily see that P(0)=c, P(1)=1+b+c and rewrite this as:

    P(0)P(1)=0

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