Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.24xy12x2444y

The first two terms, 36x³ and −22x², have a common factor of 2x². To make the greatest common factor exactly 2x, the missing term must include x but not x², and its coefficient must keep the coefficient GCF at 2. Both 4xy and 12x meet these conditions, so the correct choices are 4xy and 12x.

AI-written and checked against the verified answer.