(a) Show that the list {p o(x), p 1(x), p 2(x), ...,p n(x),...,} where po(x) = 1, p1(x) = 1+x, P;(x) = 1+x + ..+x³, %3D ...) ... is a basis of the vector space F[x] of all polynomials with coeficients in F. (b) What are the coordinates of the vector x" relative to the basis (po(x), p1(x),..,P;(x),..)? ....

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Q: the basis of P2 cons tive to B.

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