If f(x) is a polynomial function satisfying f(x) + f(1) = f(x)f(-1) and f(2)= -31 then f(4)=
options:
(1) -093 (2) -923 (3) -1021 (4) -1023
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Answer:
f(x)=xn+1
⇒f(3)=3n+1=28
⇒3n=27
∴n=3
∴f(4)=43+1=65.
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