A series of independent human-induced non-transgenic mutations found at one or more of the Lpx genes of wheat; wheat plants having these mutations in one or more of their Lpx genes; and a method of creating and finding similar and/or additional mutations of Lpx by screening pooled and/or individual wheat plants. The wheat plants disclosed herein exhibit decreased lipoxygenase activity without having the inclusion of foreign nucleic acids in their genomes. Additionally, products produced from the wheat plants disclosed herein display increased oxidative stability and increased shelf life without having the inclusion of foreign nucleic acids in their genomes.