Integers and polynomials are both _[blank 1]_ under addition, subtraction, and multiplication; however, operations on polynomials _[blank 2]_ while operations on integers _[blank 3]_.

match each blank with the words or phrases that correctly fill in each blank to make the previous sentence true.

options
can sometimes be open
produce irrational results
open
produce polynomial results
can never be open
closed
produce integer results
produce whole number results