Solution: Find the equation whose roots are twice the roots of the given equation

Find the equation whose roots are twice the roots of the equation x^3 - 6x^2 + 11x - 6 = 0.

Find the equation whose roots are twice the roots of the given equation

Problem Statement:

Find the equation whose roots are twice the roots of the equation x3 - 6x2 + 11x - 6 = 0.

Problem Answer:

The equation whose roots are twice the roots of the equation x3 - 6x2 + 11x - 6 = 0 is x3 - 12x2 + 44x - 48 = 0.

Solution:

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