Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show that x=-3 is a solution to the polynomial equation but x=3 is NOT a solution. b) Explain, without any detailed calculation that x=2 cannot be a solution to the polynomial. c) Factor the polynomial completely. d) Find all real and complex (if any) solution.

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A: I am attaching image so that you understand each and every step.

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