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Considering the vector space P2 of polynomials of order up to 2, calculate the components of the polynomial p(x) = -3x2 + 7x + 5

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Considering the vector space P2 of polynomials of order up to 2, calculate the components of the polynomial p(x) = -3x2 + 7x + 5 in the basis C = {x + 1, 3x + 2, x2 + x + 5). Enter your answer below with a precision of up to 3 decimal places, e.g. "4.598" or "6.667". . the component of x + 1: . the component of 3x + 2: . the component of x2+ x + 5

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