Question: plz help me with this 9. LetS = {p(x) E Pal p(1) = p(2) }. a) Show that S is a subspace of P2. b)

plz help me with this

plz help me with this 9. LetS = {p(x) E Pal p(1)
9. LetS = {p(x) E Pal p(1) = p(2) }. a) Show that S is a subspace of P2. b) Find a basis and the dimension of S. c) Find the coordinates of the vector p(x) = 5x2 - 15x + 7 relative to the basis found in part (b)

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