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pojnt let pn be the vector space of all polynomials of degree n or less in the variable xlet d p4 pz be the linear transformation that takes a polynomial to its second derivative that is d p 19138
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SOLVED:If F is a field, show that F[x] is a vector space over F, where the vectors in F[x] are polynomials. Vector addition is polynomial addition, and scalar multiplication is defined by αp(x) for α∈F.
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