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HW 1129 For the following polynomial function list all possible rational roots, (You don't need to find the roots.) 1) f ( x) - 3x3 + 5x3 + x - 1 2) f(x) - 3x' - 7x3+ 5x - 1 3) f(x) = 4x3 - x' - 4x + 1 4) f(x) = 2x3 + 5x3 + x - 2 For the following function: g(x) = x - 3x + 2x - 4 Use the synthetic division to find the remainder when g(x) is divided by: ( Remember to include 0, for the coefficient of x3 and x A.) (x - 1) B.) (x - 3) C.) (x + 1) D.) (x + 5) Find the value of: A.) g(1) B.) g(3) C.) g(- 1) D.) 8(-5) What is the relation between the synthetic division and the evaluating the function: For the function:f(x) = 3x3 + ax"+ bx + 12, use the synthetic division to divide f(x) by (x - 2), what is the remainder in terms of a and b? Find the relation between a and b such that the remainder is 5