When a polynomial f(x) is divided by x-1, the reminder is R. The reminder is also R when f(x+1) is divided by ... ?

A. x-1
B. x+1
C. x-2
D. x+2
E. x

@Callisto I have calculated and got the answer E, but it's wrong...

Question

When a polynomial f(x) is divided by x-1, the reminder is R. The reminder is also R when f(x+1) is divided by ... ?

A. x-1
B. x+1
C. x-2
D. x+2
E. x

@Callisto I have calculated and got the answer E, but it's wrong...

parthkohli · Answer

(Deleted my reply because that approach was returning the answer as E... :|)

anonymous · Answer

@ParthKohli the answer is D but we calculated E

callisto · Answer

So far I've got:
f(x) = (x-1) Q(x) + R
f(x+1) = [(x+1)-1]Q(x) + R = x Q(x) + R
f(0) = R
So, E should be right.

anonymous · Answer

@Callisto i got the same steps with you

callisto · Answer

Maybe you need to ask your teacher. I think he/she has made a mistake...

anonymous · Answer

ok i will ask him tmr. thanks a lot

callisto · Answer

Do tell us if we're right or not, thanks! :)

anonymous · Answer

ok i will tell you tmr night here!:) @Callisto @ParthKohli

anonymous · Answer

the answer is E!
sorry for late reply......