Question: 6. Consider the vector space P2 = {a + bat + can2 | a, b, c E R} of polynomial functions of degree at most

6. Consider the vector space P2 = {a + bat + can26. Consider the vector space P2 = {a + bat + can26. Consider the vector space P2 = {a + bat + can2
6. Consider the vector space P2 = {a + bat + can2 | a, b, c E R} of polynomial functions of degree at most 2. Consider the subset U of P2 dened by U={fP2|f(1)=0}- (the subset U consists of all polynomials of degree at most 2 which have root 1) a) Show that U is a subspace using the Subspace Test (1) \f\f

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