Question

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

Answer 1

Answer:

• $4xy$

• $12x$

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$36x^3,\:22x^2,\:4xy$

Factor 36x³

• $2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x$

Factor 22x²

• $11\cdot \:2\cdot \:x\cdot \:x$

Factor 4xy

• $2\cdot \:2\cdot \:x\cdot \:y$

Common factor

• $2x$

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$36x^3-22x^2-12x$

Factor 36x³

• $2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x$

Factor 22x²

• $11\cdot \:2\cdot \:x\cdot \:x$

Factor 12x

• $2\cdot \:2\cdot \:3\cdot \:x$

Common factor

• $2x$

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