F(x) = x 3 + 2x 2 6x + 9 When f(x) is divided by x

Question:

F(x) = x3 + 2x2 – 6x + 9

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

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

a. Show that 3a3 – 2a2 – 18a – 9 = 0.

b. Solve the equation in part a completely.

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