Faktorzerlegung von Polynomen II
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Exercise:
Zerlege die folgen Polynome in Faktoren. Klammere zuerst gemeinsame Faktoren aus versuche eine Zerlegung unter Anwung der binomischen Formeln und ansonsten durch Ausprobieren zu finden. abclist nprvmulticols abc cv-ct+c-dv+dt-d abc mnx-mny+mnz-x+y-z abc ar-a+br-b+cr-c abc eu+fu-ev-fv+ew+fw abc pz-p-qz+q abc f^-fg-f+g abc xy-xz-y+z abc v^-vw-v+w abc z^- abc n^- abc km^-kn^+m^-n^ abc q^-q+ abc z+z^+ abc b^+b+ abc v^-v- abc y^+y+ abc p^-pq-q^ abc a^+ab+b^ abc r^+rs-s^ abc r^- abc -e^+ abc cr^-c-dr^+d abc z^- abc a^-ab+b^ abc u^+uv+v^ abc n^+n+ nprvmulticols abclist
Solution:
abclist nprvmulticols abc c-dv-t+ abc mn-x-y+z abc a+b+cr- abc e+fu-v+w abc p-qz- abc f-f-g abc x-y-z abc v-v-w abc z+z- abc n+n- abc k+m+nm-n abc q-^ abc z+^ abc b+b+ abc v-v+ abc y+^ abc p-qp+q abc a+ba+b abc r+sr-s abc r+r- abc -^ abc c-dr^- abc z+z- abc a+b^ abc u+v^ abc n+^ nprvmulticols abclist
Zerlege die folgen Polynome in Faktoren. Klammere zuerst gemeinsame Faktoren aus versuche eine Zerlegung unter Anwung der binomischen Formeln und ansonsten durch Ausprobieren zu finden. abclist nprvmulticols abc cv-ct+c-dv+dt-d abc mnx-mny+mnz-x+y-z abc ar-a+br-b+cr-c abc eu+fu-ev-fv+ew+fw abc pz-p-qz+q abc f^-fg-f+g abc xy-xz-y+z abc v^-vw-v+w abc z^- abc n^- abc km^-kn^+m^-n^ abc q^-q+ abc z+z^+ abc b^+b+ abc v^-v- abc y^+y+ abc p^-pq-q^ abc a^+ab+b^ abc r^+rs-s^ abc r^- abc -e^+ abc cr^-c-dr^+d abc z^- abc a^-ab+b^ abc u^+uv+v^ abc n^+n+ nprvmulticols abclist
Solution:
abclist nprvmulticols abc c-dv-t+ abc mn-x-y+z abc a+b+cr- abc e+fu-v+w abc p-qz- abc f-f-g abc x-y-z abc v-v-w abc z+z- abc n+n- abc k+m+nm-n abc q-^ abc z+^ abc b+b+ abc v-v+ abc y+^ abc p-qp+q abc a+ba+b abc r+sr-s abc r+r- abc -^ abc c-dr^- abc z+z- abc a+b^ abc u+v^ abc n+^ nprvmulticols abclist