Question

How do u find the lcf

Answer 1

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.