The polynomial 2 2( ) ( 1) ( 2)f x A x B x= − + + is divided by x + 1 and x – 2. The remainders are 3 and –15 respectively. Find the values of A and B.

Suppose you are choosing a 6-digit personal access code. this code is made up of 4 digits chosen from 1 to 9, followed by 2 letters chosen from a to z. any of these digits or letters can be repeated. find the total number of personal access codes that can be formed. 492,804 341,172 39,917,124 4,435,236