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(*) Let D: Pn(R) + Pn-1(R) be a linear map with the property that for any non-constant polynomial p(x) € Pn(R), deg(D(p(x)))

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I : Pn (R) - Prof R) be a linear map with the property deg (OCP) = deg (pen)) - | To show: D is suriective Let 1 QiER qox) €

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