perplexus.info :: Just Math : Cubic coefficients

Cubic coefficients (Posted on 2020-11-02)

The coefficients a,b,c of a polynomial f:R->R, f(x)=x³+ax²+bx+c are mutually distinct integers and different from zero. Furthermore, f(a)=a³ and f(b)=b³. Determine a,b and c.

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 3.0000 (1 votes)

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Puzzle Answer

Comment 4 of 4 |

The required answer is:

(a, b, c)= (-2, 4, 16)

*** I sincerely hope to posit a detailed explanation to this in future.

Posted by K Sengupta on 2022-05-31 23:22:11

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