we have that
y=3x²+11x-4
using a graph tool---------> to find the roots of the equation
see the attached figure
the solution is
x=-4
x=0.333----> 1/3
so
(x+4)=0
and
(x-1/3)=0---------> (3x-1)/3=0-------> (3x-1)=0
(x+4)*(3x-1)
the answer is
(3x-1) and (x+4)