Suppose you were asked to solve the following two problems on a test. (a) Find the remainder when 6x1000 12x562+15x+25 is divided by x + 1. - (b) Is x - 1 a factor of x5672x400 + x9 + 7? Obviously, it's impossible to solve these problems by dividing, because the polynomials are of such large degree. Use one or more of the theorems in this section to solve these problems without actually dividing (a) Find the remainder when 6x1000-12x562 + 15x + 25 is divided by x + 1. (b) Is x - 1 a factor of x567 - 2x400 Yes No + x9 + 7?