Question

1+x+x^3+x^9+x^27+x^81+x^243 is divided by x-1

Answer 1

p(x)=1+x+x^3+x^9+x^27+x^81+x^243

g(x)=x-1

the zero of the polynomial g(x)is g(x)=0

x-1=0

x=1

p(1)=1+1+1^3+1^9+1^27+1^81+1^243

=1+1+1+1+1+1+1

=7