Question: Please help me with this problem, thank you!!! Question 14. Define polynomials fi = 1 - 2x + x, f2 = x + x2 -

Please help me with this problem, thank you!!!

Question 14. Define polynomials fi = 1 - 2x + x, f2 = x + x2 - x and also g1 = 2 + 2x - 4x2 + x3, 82 = 1 - x+ x, 83 = 2+ 3x - x2. Let U = Span(fi, f2) and V = Span(81, 82, 83) be subspaces of P4(R), polynomials of degree smaller than 4. Find a basis for U + V and a basis for Un V

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