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.