Let p, denote the vector space of all polynomials with degree less than or equal to 2. (a) show that b = {1+1+,1 + 2.c - 22,1 - 2x - 2} is a basis for p2. (b) find the coordinate vector of p() = 1 + 2x + 3.rº relative to the basis b.

Atest consists of 10 multiple choice questions, each with 5 possible answers, one of which is correct. to pass the test a student must get 60% or better on the test. if a student randomly guesses, what is the probability that the student will pass the test?