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In: Advanced Math

Consider the vector space P2 of all polynomials of degree less than or equal to 2...

Consider the vector space P2 of all polynomials of degree less than or equal to 2 i.e. P = p(x) = ax + bx + c | a,b,c €.R Determine whether each of the parts a) and b) defines a subspace in P2 ? Explain your answer. a) ( 10 pts. ) p(0) + p(1) = 1 b) ( 10 pts.) p(1) = − p(−1)

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