Golden C.

asked • 10/08/16

it is literal factor in a monomial

what is literal factor in a monomial?

1 Expert Answer

By:

Michael J. answered • 10/08/16

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Kenneth S.

I think that the factors of 2xy (monomial) are
2 ... a CONSTANT factor, and
x & y ...LITERAL factors.
 
My reasoning: all three things are factors; if we have an adjective included, it must be for the purpose of breaking the factors subgroups; if all three things are factors, why would we need the word LITERAL unless it corresponds to different subgroups?  x & y are lieeral factors because they're letters.
 
P.S. to Michael J--thanks for catching my ratio miscalculation, recentlyl
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10/08/16

David W.

In the product 2xy, the factors are 2, x and y.
  2 is a numerical factor.
  x and y are literal factors 

How is this used? 

  - Coefficient is of two types. Numerical coefficient and Literal coefficient.
      In 2xy, 2 is the number or the Numerical coefficient while xy, the symbol, is the Literal Coefficient. 

  - Numbers form Numerical coefficients and symbols form literal coefficients.

  - Two or more terms that have the same literal coefficients are called Like Terms. Like terms can have different Numerical Coefficients, but not literal coefficients.
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10/08/16

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