Sudoku puzzles are given a difficulty rating x, a real number greater than 1. Under this rating scheme... Program A can solve a sudoku puzzle in a(x) = x 2 + 2x 2 seconds. Program B can solve a sudoku puzzle in b(x) = x 4 + x 3 + 2x 2 x 1 seconds. Program A is (usually) faster, but we would like to know how many times faster. -For a sudoku with difficulty rating 3, what is the difference of the completion times for the two programs? -For a sudoku with difficulty rating 3, what is the ratio of the completion times for the two programs (b(3)/a(3))? -For a sudoku with difficulty rating x, what is the difference of the completion times for the two programs? -For a sudoku with difficulty rating x, what is the ratio of the completion times for the two programs (b(x)/a(x))? Long divide and discard the remainder.