Umformung: Nullstellenform - Normalform

Um von der Darstellung in Nullstellenform zur Normalform zu kommen, müssen die Klammern aufgelöst werden: Darstellung in Linearfaktoren: f ( x ) = a ⋅ ( x − x 1 ) ⋅ ( x − x 2 ) MathType@MTEF@5@5@+= feaagGart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbdfgBPj MCPbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1B TfMBaebbnrfifHhDYfgasaacH8IrFr0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9 pgeaYRXxe9vr0=vr0=vqpWqaaeaabaGaaiaacaqaaeaadaabauaaaO qaaiaadAgacaGGOaGaaiiEaiaacMcacqGH9aqpcaGGHbGaeyyXICTa aiikaiaacIhacqGHsislcaGG4bWaaSbaaSqaaiaaigdaaeqaaOGaai ykaiabgwSixlaacIcacaWG4bGaeyOeI0IaamiEamaaBaaaleaacaaI YaaabeaakiaacMcaaaa@4D1A@ Auflösen der Klammern: f ( x ) = a ⋅ ( x 2 − x 1 ⋅ x − x 2 ⋅ x + x 1 ⋅ x 2 ) MathType@MTEF@5@5@+= feaagGart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbdfgBPj MCPbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1B TfMBaebbnrfifHhDYfgasaacH8IrFr0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9 pgeaYRXxe9vr0=vr0=vqpWqaaeaabaGaaiaacaqaaeaadaabauaaaO qaaiaadAgacaGGOaGaamiEaiaacMcacqGH9aqpcaWGHbGaeyyXICTa aiikaiaadIhadaahaaWcbeqaaiaaikdaaaGccqGHsislcaWG4bWaaS baaSqaaiaaigdaaeqaaOGaeyyXICTaamiEaiabgkHiTiaadIhadaWg aaWcbaGaaGOmaaqabaGccqGHflY1caWG4bGaey4kaSIaamiEamaaBa aaleaacaaIXaaabeaakiabgwSixlaadIhadaWgaaWcbaGaaGOmaaqa baGccaGGPaaaaa@5708@ Normalform: f ( x ) = a ⋅ x 2 − a ⋅ ( x 1 + x 2 ) ⋅ x + a ⋅ x 1 ⋅ x 2 MathType@MTEF@5@5@+= feaagGart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbdfgBPj MCPbqedmvETj2BSbqefm0