The rational function

can be written in the form P(x) +

where P(x) is a polynomial and K
is a constant. Find P(x) and K.
◦ P(x) = x
2 + 2x + 5 and K = 14
◦ P(x) = x
2 - x + 8 and K = 12
◦ P(x) = x
2 - 5x + 2 and K = 13
◦ P(x) = x
2 + x - 9 and K = 20
◦ P(x) = x
2 - 6x - 1 and K = 7