What is the remainder when -LSB- math -RSB- x ^ -LCB- 1999 -RCB- -LSB- / math -RSB- is divided by -LSB- math -RSB- -LRB- x ^ 2-1 -RRB- -LSB- / math -RSB- ?
A polynomial leaves remainder -LSB- math -RSB- 2 -LSB- / math -RSB- when divided by -LSB- math -RSB- x-1 -LSB- / math -RSB- and remainder -LSB- math -RSB- 1 -LSB- / math -RSB- when divided by -LSB- math -RSB- x-2 -LSB- / math -RSB- . If the polynomial is divided by -LSB- math -RSB- -LRB- x-1 -RRB- -LRB- x-2 -RRB- -LSB- / math -RSB- , then what would be the remainder ?