For the continuous and producible (up to second order) function f(x)= 2x5 + 7x3 +...

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Accounting

For the continuous and producible (up to second order) function f(x)= 2x5 + 7x3 + 9x - 10

xi 0 1 2
f(xi) -4 9 -6
f(1)(xi) 9 11
f(2)(xi) -10

Find with the Hermite method the smallest possible degree of polynomial p(x) which is inserted in the above data of the function f.

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