Abstract Algebra: Theory and Applications · Problem 17.6.13

Integral Domains — Thomas Judson

Mathematics — Abstract Algebra · solving-quartic

Problem

Use this method to solve the following quartic equations. ((a))

x^4 - x^2 - 3x + 2 = 0

((b))

x^4 + x^3 - 7x^2 - x + 6 = 0

((c))

x^4 - 2x^2 + 4x - 3 = 0

((d))

x^4 - 4x^3 + 3x^2 - 5x + 2 = 0