Please help me factor this.

2 X^2 + X - 14

2 ( X^2 + 1/2 X - 7)

Should factor to :

2 ( X + a) ( X+b) / in such a way that a.b = -7 a+ b = 1/2 , there is no rational numbers that that

meet that criteria , so factor it with completing the square.

2 ( X^2 + 1/2 X + 1/16 - 1/16 - 7 ) =

2[ ( X + 1/4 ) ^2 - 113/16) ] =

2 ( X + 1/4 - √113/4) ( X + 1/4 + √113/4) =

2 ( X +1/4 + √(113/16)( X + 1/4 -(√113/16 )

2 ( X + ( (1 + √(113)/4) ( X + (( 1 - √113)/4)

## Comments

^{2}- 4*2*(-14)) )