f(x) = 6x 3 + 17x 2 5x 6 a. Show that f(x) = (3x

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f(x) = 6x3 + 17x2 – 5x − 6

a. Show that f(x) = (3x – 2)(ax2 + bx + c), where a, b and c are constants to be found.

b. Hence factorise f(x) completely.

c. Write down all the real roots of the equation f(x) = 0.

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