Do you know the reverse process?

Algebra Level 3

f(x)=ax3+bx2+cx+df(x)=ax^{3}+bx^{2}+cx+d , where a,b,c,dNa,b,c,d\in N. Given that,

f(1)=10f(1)=10
f(2)=27f(2)=27
f(3)=60f(3)=60
f(4)=115f(4)=115

Then find (a×b×c×d)+(a+b+c+d) (a \times b \times c \times d) + ( a + b + c + d ) .

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