Find the missing factor 7s^2+19s+10 = (s+2) ()

To find the missing factor, divide 7s^2 + 19s + 10 by s+2.  I prefer to do this using synthetic division:
     
-2 /    7      19       10
                 -14      -10
   
         7        5          0

Because theres a zero remainder, -2 is a root of the given equation, and (x+2) is a factor.  From the coefficients 7    5   we know that the other factor is (7x+5)     (answer)
Check this by mult. (7s+5) and (s+2) together.  You must get 7s^2+19s+10.