U is the subspace of P(F) consisting of all polys in the form p(z)= a(z)^2 + b(z)^5. a,b are in F. Find a subspace W of P(F) s.t. P(F)= U + (direct sum) W.
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U has a basis of: {<0,0,1,0,0,0>, <0,0,0,0,0,1>}. What must the basis look like to complete the space?
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