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JEE MATHEMATICS MCQ: DIFFERENTIATION

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If f(x)=x3+x2+f′(1)+xf′′(2)+f′′′(3),∀x∈Rf\left( x \right) = {x^3} + {x^2} + f'\left( 1 \right) + xf''\left( 2 \right) + f'''\left( 3 \right),\forall x \in R where f(x)f\left( x \right) is a polynomial of degree 3, then
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Correct option: D
All of these
Option D (All of these) is correct because when we solve for the coefficients of the cubic polynomial, all the given relations hold true.

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