According to the remainder theorem, if we divide a polynomial, p(x) by a divisor, x - a and then evaluate the polynomial at x = a from x - a = 0, the remainder would be the result of the evaluation. In the given scenario, we are dividing by x - 6. This means that we would substitute x = 6 into the polynomial. Looking at the given options, the one that has P(x) where x = 6 is substituted is
P(6) = - 5
Thus, the remainder is - 5