A function F(x) satisfies the functional equation \[{{x}^{2}}F(x)+F(1-x)=2x-{{x}^{4}}\]for all real x. F(x) must be

A function F(x) satisfies the functional equation \[{{x}^{2}}F(x)+F(1-

1.	A function F(x) satisfies the functional equation \[{{x}^{2}}F(x)+F(1-x)=2x-{{x}^{4}}\]for all real x. F(x) must be
A.	\[{{x}^{2}}\]
B.	\[1-{{x}^{2}}\]
C.	\[1+{{x}^{2}}\]
D.	\[{{x}^{2}}+x+1\]
Answer» D. \[{{x}^{2}}+x+1\]

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A function F(x) satisfies the functional equation \[{{x}^{2}}F(x)+F(1-x)=2x-{{x}^{4}}\]for all real x. F(x) must be

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