Find the remainder ax3+ax2+ax+c Is divided by ax+c?

1 Answer
Alison P.
Feb 21, 2018

#(ax^3+ax^2+ax+c)/(ax+c)=(x^2+x+1 )R(-cx^2-cx+c)#

Explanation:

.......................#x^2+x+1#
#ax+csqrt(ax^3+ax^2+ax+c)#
................- #ax^3+cx^2#
................---------------..............
.................. #ax^2-cx^2+ax#
................- #(ax^2+cx)#
................---------------..............
................................#-cx^2-cx+c#

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