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JEE MATHEMATICS MCQ: DIFFERENTIATION

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If f(x)=x3+x2f′(1)+xf′′(2)+f′′′(3)f(x)=x^3+x^2 f^{\prime}(1)+x f^{\prime \prime}(2)+f^{\prime \prime \prime}(3) for all x∈Rx \in R, then which of the following is false?
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Correct option: D
f(1)+f(3)=f(0)f(1)+f(3)=f(0)
Option D, f(1)+f(3)=f(0)f(1)+f(3)=f(0), is false because the correct relationship between the function values is f(0)+f(2)=f(1)f(0)+f(2)=f(1).

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