5. The interpolating polynomial P3 (x) Xi 2 P₂(x) = 3−7(x + 1) + 8(x + 1)x − 6(x + 1)x(x − 1). is obtained using the Newton Divided Difference table given as below. Find the correct value for each blank box. Please show necessary work. f(x₂) 1st divided difference 2nd divided difference 3rd divided difference ^^

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