Let P2 denote the vector space of all polynomials in the variable a of degree less than or equal to 2. Let C = {-1, –3+ x, 2 + 2x – x2} be an ordered basis for P2. a. Write 3 – 4x + x² as a linear...

Extracted text: Let P2 denote the vector space of all polynomials in the variable a of degree less than or equal to 2. Let C = {-1, –3+ x, 2 + 2x – x2} be an ordered basis for P2. a. Write 3 – 4x + x² as a linear combination of elements from the basis C. - 3 – 4x + x? (-1)+ (-3+x)+ (2 + 2я — г?). b. Let [g]c denote the coordinate representation of q relative to the basis C. Find the coordinate vector representation for 3 – 4x + x? relative to the basis C. Your answer should be a vector of the general form <1,2,3>. [3 – 4x + x2]c = -