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 2, 3, and k.

When f(x) is divided by x – 1, the remainder is - 8.

a. Find the value of k.

b. Find the remainder when f(x) is divided by x + 1.

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