In the vector space P2, of polynomials of degree at most two, the third column of the matrix of from the transition basis

Question

In the vector space P2, of polynomials of degree at most two, the third column of the matrix of
from the transition basis
B={e₁=4-x²,  e ₂ = −2 + 3x², e3=1+x} to the basis A={a₁=1, a₂=x, a3=x²} is:

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