Suppose P(z) is a polynomial satisfying • P( – 4) = - 32 • P'( – 4) = 44 • P''( – 4) = – 90 • P(3) ( – 4) = 366 Р(4) — 0 Р(4) — 796 If P(æ) = a + b(x – 4) + c(x – 4)(x + 4) + d(æ – 4)(x + 4)² + e(x – 4)(x + 4)³ + f(x – 4)°(æ + 4)³ then 1. What is the coefficient a ? 2. What is the coefficient b? 3. What is the coefficient c? 4. What is the coefficient d? 5. What is the coefficient e ? 6. What is the coefficient f ?

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