Conjugate Pairs in Polynomials

by First, Jan 6, 2017, 12:56 AM

2010 AIME II #7 wrote:

Let $P(z) = z^3 + az^2 + bz + c$ , where $a$ , $b$ , and $c$ are real. There exists a complex number $w$ such that the three roots of $P(z)$ are $w + 3i$ , $w + 9i$ , and $2w - 4$ , where $i^2 = - 1$ . Find $|a + b + c|$

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wait barn, you are given the roots of a polynomial and asked for $|P(1)-1|$

by FlyingCucumber, Jan 11, 2017, 12:03 AM

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Conjugate Pairs in Polynomials

by First, Jan 6, 2017, 12:56 AM

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