Abstract Algebra: Theory and Applications · Problem 17.6.2

Integral Domains — Thomas Judson

Mathematics — Abstract Algebra · solving-cubic

Problem

Show that any cubic equation of the form x3+bx2+cx+d=0x^3 + bx^2 + cx + d = 0 can be reduced to the form y3+py+q=0y^3 + py + q = 0 by making the substitution x=y−b/3x = y - b/3.

Browse the problem library