How many polynomial -LSB- math -RSB- p -LRB- x -RRB- -LSB- / math -RSB- are there such that -LSB- math -RSB- p -LRB- q -LRB- x -RRB- -RRB- = q -LRB- p -LRB- x -RRB- -RRB- -LSB- / math -RSB- for all polynomial -LSB- math -RSB- q -LRB- x -RRB- -LSB- / math -RSB- ?
What are all polynomials -LSB- math -RSB- p -LRB- x -RRB- -LSB- / math -RSB- such that -LSB- math -RSB- p -LRB- q -LRB- x -RRB- -RRB- = q -LRB- p -LRB- x -RRB- -RRB- -LSB- / math -RSB- for every polynomial -LSB- math -RSB- q -LRB- x -RRB- -LSB- / math -RSB- ?