Let f(x)=−7, g(x)=−4x+5 and h(x)=4x ₂ −8x−5. Consider the inner product 〈p,q〉=p(−1)q(−1)+p(0)q(0)+p(1)q(1) in the vector space P ₂ of polynomials of degree at most 2. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of P ₂ spanned by the polynomials f(x), g(x) and h(x).

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