Precious S.

asked • 08/04/16

whats the greatest common factor of 2x^2-10x

I don't really understand this question

Norbert W.

Is this the complete question?  Common factors usually require at least 2 expressions, the common factor being part of each expression.
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08/04/16

Arturo O.

2x^2 - 10x = 2 (x^2 - 5x) = 2x (x - 5)
 
So the expression has factors 2, x, and x - 5.  Now we need the other expression so we can factor it, and then compare factors between the 2 expressions.
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08/04/16

1 Expert Answer

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Mark M. answered • 08/04/16

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Factor is another name for a multiplier.
2x2 = 2 · x · x
-10x = -1 · 2 · 5 · x
Common factors are multipliers that are in both expression.
What factors (multipliers) are in both of the equations?
2 and x, these are the common factors.
2x is the greatest (largest/most) common factor.
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