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Linear AlgebraEasyVector Spaces & Bases

Vector Spaces & Bases · Easy problem

The polynomials 1, 1+x, 1+x+x21,\ 1+x,\ 1+x+x^2 form a basis of P2P_2. Write p(x)=3+2x−x2p(x) = 3+2x-x^2 as a⋅1+b(1+x)+c(1+x+x2)a\cdot 1 + b(1+x) + c(1+x+x^2). Find bb.