Completely factor the trinomial if possible 6x2 19x 8 Solu

Completely factor the trinomial, if possible 6x^2 + 19x + 8

Solution

6x^2 + 19x +8

ax^2 +bx +c

Lets apply quadratice root formula to find the roots and then write it in form of factors:

x = ( -19 +/- sqrt(19^2 -4*8*6))/12

=(-19 +/-13)/12

x= -8/3 , -1/2

6x^2 + 19x +8 = (3x +8)(2x +1)