Lesson 2: Factoring Polynomials 1. Completely factor each of the following polynomials. Begin by listing the possible integral zeros. a. P(x) = x - 4x + x + 6 (4 marks) Possible integral zeros: E Mathematics 30-1: Module 3 11 b. P(x) = x* + 4x3 - 3x - 14x - 8 (5 marks) Possible integral zeros: 12 of 25Mathematics 30-1: Module 3 12 2. You are given f(x) = x* - 3x - kx - 5. When f(x) is divided by x + 3 the remainder is 166. a. Determine the value of k. (2 marks) E b. Use your value of k from part a. to determine the remainder when f(x) is divided by x - 3. (2 marks)