Suppose you were asked to solve the following two problems on a test. (a) Find the remainder when 2x¹⁰⁰0 - 12x⁵⁶2 + 17x + 29 is divided by x + 1. (b) Is x - 1 a factor of x⁵⁶7 - 8x⁴⁰0 + x⁹ + 7?