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29 January, 01:58

How do u find the lcf

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Answers (1)
  1. 29 January, 03:47
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    Step-by-step answer:

    The fastest way is to factor the given expression, either by inspection or grouping.

    We write

    3x^2+10x+3 ... (1)

    = (3x^2+x) + 9x+3

    = x (3x+1) + 3 (x+1)

    = (x+3) (3x+1)

    so (3x+1) is a factor.

    We can also eliminate the two other factors by observing

    (3x+3) = 3 (x+1), but 3 is not a common factor in (1), so this can be eliminated.

    (3x-1) has a negative sign, but (1) does not have ANY negative sign, so again this can be eliminated. That leaves (3x+1) as the only possibility. Again, factoring confirms that it is.
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