Select all factors of the following polynomial: 4p^3 + 36p^2 + 32p [] 4p
[] 4p^2
[] (p - 1)
[] (p + 1)
[] (p - 2)
[] (p + 2)
[] (p - 4)
[] (p + 4)
[] (p - 8)
[] (p + 8)

For many years, organized crime ran a numbers game that is now run legally by many state governments. the player selects a three digit number from 000 to 999. there are 1000 such numbers. a bet of $1 is placed on a number, say number 115. if the number is selected, the player wins $500. if any other number is selected, the player wins nothing. find the expected value for this game and describe what it means