I would like some assistance with the following matrix algebra exercise

Question 2 (5 marks) P2 is a vector space consisting of all polynomials of degree s 2. Given the following set of polynomials: (1+x+x2, x+x2, x2] Determine if the set forms a basis for P2. Question 3 (5 marks) Show that if a square matrix, M, is idempotent, then it can only have eigenvalues equal to 0 or 1