6. Let space V be the space of all polynomials of degree 3: V = {f(x) = ax³ + ba² + cx + d}. Space W is defined as all those polynomials f from V such that f(0) = 0: W = {f € V : f(0) = 0} Question a. Prove that space W is a linear subspace of V. Question b. Let D(f(x)) be a transformation of V defined as follows: df D(f(x)) = 2f(x) – 32 (2) dr Verify whether D is a linear transformation. If yes then find the kernel of D.

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