f(x) = 3x 3 12x 2 + 6x 24 a. Use the factor theorem to

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f(x) = 3x3 – 12x2 + 6x − 24

a. Use the factor theorem to show that (x − 4) is a factor of f(x).

b. Hence, show that 4 is the only real root of the equation f(x) = 0.

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