For what values of p and q is x^36 + px^q + 100 a perfect square for all integer values of x?
a) p = 16 and q = 4, because all the coefficients and exponents are perfect squares.
b) p = 16 and q = 18, because all the coefficients are perfect squares and 18 is half of 36.
c) p = 20 and q = 4, because 20 is double the square root of 100 and 4 is a perfect square.
d) p = 20 and q = 18, because 20 is double the square root of 100 and 18 is half of 36
