Exercise 6.3.6 Exhibit a basis and calculate the dimen- sion of each of the following subspaces of P2. a. {a(1+x)+b(x+x²) | a and b in R} b. {a+b(x+x²) | a and b in R} c. {p(x) | p(1)=0} d. {p(x)|p(x) = p(−x)}

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