An algebra problem by Himanshu Singh
Algebra
Level
4
What is the remainder when is divided by
0
5x
5
x
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1 solution
let x+x^9+x^25+x^49+x^81=Q(x)*(x^3-x)+a(x^2)+bx+c put x=1,x=0,x=-1 and solve to get a=c=0,b=5 use the fact that degree of remainder is always < degree of divisor polynomial