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2. Without dividing determine the remainder when x3 - 3x2 - 2x + 1 is divided by 3x - 2. Express your final answer as a fraction in lowest terms. 3. Factor fully: 16 x3 + 250y3 Application 4. Determine the remainder when x4 - 3x2 + 2x - 1 is divided by x3 - 5x2 + 22x - 1087. When ax3 - x2 + 3x + b is divided by (x - 2), the remainder is 59. When it is divided by (x + 1), the remainder is -1. Find the values of a and b. [5] Communication 8. For the polynomial g(x) = -3 (#x -1) + 1: Describe the transformation and it's order that must be applied, to f(x) = x3 , to get the graph of g (x) [3]5. When the polynomial f(x) = 2x4 - 7x2 + kx - 2 is divided by (x + 3), the remainder is -2. Determine the value of k. [2] 6. Factor fully f(x) = 10x3 - 21x2 - x + 6 (show all your steps). Then sketch a graph of the function. [5] -10 -8 -6 4 -2 2 4 6 8 10