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Let K[x] denote the K-vector space of polynomials with coefficients in K and let U denote the subspace of polynomials of the form ax^2+bx^5. Find a...
Let K[x] denote the K-vector space of polynomials with coefficients in K and let U denote the subspace of polynomials of the form ax^2+bx^5.
Find a subspace V of K[x] such that U + V = K[x].