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Problem 12 - Entrance Test

What is the sum of all the roots of the given polynomial?

Correct: A

The given polynomial is x^2 + 3x + 2 = 0. By Vieta's formulas, we have that the sum of all roots of the polynomial ax^2 + bx + c = 0 is -b/a. Therefore, for the given polynomial x^2 + 3x + 2, we have a = 1 and b = 3, so the sum of all roots is -3/1 = -3.