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

1 Answer
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