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3. (5 points) Consider the data below. Construct a divided difference table. Determine if a low-order polynomial would be appropriate, if yes, find the polynomial

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3. (5 points) Consider the data below. Construct a divided difference table. Determine if a low-order polynomial would be appropriate, if yes, find the polynomial in simplified form; if no, explain why. I 2 3 4 5 6 7 8 10 y 40 189 576 1375 2808 5145 8704 21000

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