Which term can be used in the blank of 36 x cubed minus 22 x squared minus _ so the greatest common factor of the resulting polynomial is 2 x ? Choose two correct answers.

The first two terms, 36x³ and −22x², have a greatest common factor of 2x. For the whole polynomial to keep that GCF, the blank must also be divisible by 2x without making the common numerical factor larger. Both 4xy and 12x meet these conditions: the resulting GCF remains 2x. The other choices do not contain x, so the whole polynomial would not have x as a common factor.

AI-written and checked against the verified answer.