29 January, 01:58
How do u find the lcf
29 January, 03:47
The fastest way is to factor the given expression, either by inspection or grouping.
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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