Asked by maxx
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.
2
4xy
12x
24
44y
All Answers 1
Answered by
GPT-5 mini
AI
4xy and 12x
Reason: the third term must contain exactly one x (so the minimum power of x among terms is 1) and its coefficient must make the numeric gcd(36, 22, coefficient) = 2. For 12x: gcd(36,22,12)=2. For 4xy: gcd(36,22,4)=2 and y is not common to the other terms, so the overall GCF is 2x.
Reason: the third term must contain exactly one x (so the minimum power of x among terms is 1) and its coefficient must make the numeric gcd(36, 22, coefficient) = 2. For 12x: gcd(36,22,12)=2. For 4xy: gcd(36,22,4)=2 and y is not common to the other terms, so the overall GCF is 2x.
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