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A polynomial is defined by \(f(x + 1) = x^{3} + px^{2} - 4x ...

A polynomial is defined by f(x+1)=x3+px24x+2, find f(2)

A.

-8

B.

-2

C.

2

D.

8

Correct answer is C

Given: f(x+1)=x3+3x24x+2

f(2)=f(x+1)x+1=2;x=1

f(2)=13+3(1)24(1)+2=1+34+2=2