F(x) = x 3 + 6x 2 + kx 15 When f(x) is divided by x

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F(x) = x3 + 6x2 + kx – 15

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

When f(x) is divided by x + 4, the remainder is - R.

a. Find the value of k.

b. Hence find the remainder when the expression is divided by x + 2.

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