\fSection 3.2: 3. Let p(x) = 3x3 + x> - 21x - 7 (a) Find p(2) using the Remainder Theorem. (b) Show c = = = is a zero of p and use this to find the remaining zeros of p. 4. Find the zeros of p(x) = x2 - 2x - 4 and use them to factor p(x)Section 3.3: 1. Let p(x) = 3x5+ 3x* - 6x3 - 15x- -15x - 6. (a) Use the Rational Zeros Theorem to generate a list of potential rational zeros. (b) Use Descartes' Rule of Signs to find the possible number of positive and negative real zeros. (c) Find all real zeros of p and state their multiplicities. (d) Sketch the graph of y = p(x). Be sure to find: i. the y-intercept ii. the end behavior iii. the x-intercepts 2. Solve: 2x' + 3 2 x- + 4x Section 3.4: Let p(x) = 2x* - 4x3 + 7x3 + 6x -15 3. Given that x = 1 - 2i is a zero, find the remaining zeros of p. 4. Factor p(x) over the complex numbers. 5. Factorp over the real numbers