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

• 
  `4xy`

• 
  `12x`

-------------

`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`

---------------------

`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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