The range of values of so that all the roots of the equation are real and distinct

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The range of values of aa so that all the roots of the equation 2x3−3x2−12x+a=02x^3 - 3x^2 - 12x + a = 0 are real and distinct, belongs to (1) (7,20)(7, 20) (2) (−7,20)(-7, 20) (3) (−20,7)(-20, 7) (4) (−7,7)(-7, 7)

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