4x^2+14x+6

4X^2 +14X + 6

Let 's factor 2 first:

2 ( 2X^2 +7X + 3)

To factor 2X^2 + 7X + 3 / 2 numbers, whose Sum is 7 . and product is 2*3 = 6, are( 6 ,1)

2 ( 2X^2 + 6X + X + 3 ) / break 7x= 6X +X

2 ( 2X^2 +6X + X + 3 ) =

2 [ 2X ( X + 3 ) + ( X +3) ] =

2 ( X+3) ( 2X + 1)