Question

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

Answer 1

`(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`