Asandwich shop sells 4 kinds of sandwiches. each sandiwch comes with either chips, coleslaw, or baked beans. how many different choices are there.

This is like trying to find out a 4 digit code but with only 7 numbers.

The question states that there are 4 kinds of sandwiches so we will make 4 sandwiches

salami

cheese

baloni

pastrami

We have 12 different choices of sandwich with side.

salami - chips

salami - coleslaw

salami - baked beans

cheese - chips

cheese - coleslaw

cheese - baked beans

baloni - chips

baloni - coleslaw

baloni - baked beans

pastrami - chips

pastrami - coleslaw

pastrami - baked beans

PS: did you know that there is exactly 10,000 pssible combinations in a 4 digit code with 10 numbers starting at 0000 all the way to 9999

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0