DesCartes' Rule Of Signs and Conjugate G-filtration

Algebra Level 3

Let f ( x ) = x n + a n − 1 x n − 1 + a n − 2 x n − 2 + . . . + a 1 x + 21 f(x)=x^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+...+a_1x+21 for natural degree n n , for integers a i a_i , and where f ( 1 ) = 8 f(1)=8 and f ( − 1 ) = 28 f(-1)=28 . Find all the possible rational roots of f f . How many are there?

2 2 2^2 2 1 2^1 2 0 2^0 2 3 2^3

Frank Giordano by Frank Giordano , 57, USA

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1 solution

Frank Giordano
Apr 11, 2018

G-filtered Polycules

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