F(x) = x 3 + ax 2 + bx + c The roots of f(x) = 0

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F(x) = x3 + ax2 + bx + c

The roots of f(x) = 0 are 1, k, and k + 1.

When f(x) is divided by x – 2, the remainder is 20.

a. Show that k2 – 3k – 18 = 0.

b. Hence find the possible values of k.

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