`Nice' Quartic Polynomials - The Sequel

Le résumé fourni par la source

The re-publication of a 1960 article by M. Chapple in the Australian Senior Mathematics Journal (1990) received considerable interest from teachers. In an article published in the same issue of ASMJ, one of us (Galvin, 1990) described Chapple’s achievement as follows. “He solved the general problem of constructing a cubic polynomial with rational zeros, having a derived polynomial with rational zeros. His solution was to select any four numbers p, q, r, s (he took them to be rational) in arithmetic progression (AP) and then construct the cubic polynomial

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