Let P₂ denote the vector space of all polynomials in the

Last updated: 8/7/2022

Let P₂ 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 <1,2,3>. [5+ x + x²]c=