Follow the following steps to find all three roots of the equation x³ + 3x² - 6x + 20 = 0. (a) Use appropriate substitution to get rid of the quadratic term 3x² in the above equation. (b) Apply Cardano's formula to find a real root ₁ of the original equa- tion. (c) Use long division to get a quadratic equation for the two remaining (imaginary) roots a2 and a3. (d) Using the quadratic formula, find a2 and a3. (e) By a direct computation verify Vieta's formulas -3, -6, a1a2a3 = -20. a₁ + a₂ + az = a1a2 + a1a3 + α2α3 =

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A: Concept:

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A: