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Let P? denote the vector space of all polynomials in the variable x of degree less than or equal to 2. Let C = {3,

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Let P? denote the vector space of all polynomials in the variable x of degree less than or equal to 2. Let C = {3, 2-3x,-2-2x + x²} be an ordered basis for P2.a. Write 5 + x + x² as a linear combination of elements from the basis C.5+x+x² =b. Let [q]c denote the coordinate representation of q relative to the basis C. Find the coordinate vector representation for 5 + x + x² relative to the basis C. Your answer should be vector of the general form .[5+ x + x²]c=

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