Let p be a polynomial in Pn and let T(p) = fJp(x)dx be a linear transformation of Pn

Chapter 4, Problem 36

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Let p be a polynomial in Pn and let T(p) = fJp(x)dx be a linear transformation of Pn into R. Find T(Sx3 + 6x2 + 4x + 1). Determine the kernel and range of T. Find the set of elements of P n that are mapped into 2.

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