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...

Answer 1

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

Answer 2

@ParthKohli the answer is D but we calculated E

Answer 3

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.

Answer 4

@Callisto i got the same steps with you

Answer 5

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

Answer 6

ok i will ask him tmr. thanks a lot

Answer 7

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

Answer 8

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

Answer 9

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