Answer: [tex](x+1)(2x+4)[/tex]
Step-by-step explanation:
Given :
[tex]2x^{2}+6x+4[/tex]
in order to factorize , we will find two factors that when multiplied together gives [tex]8x^{2}[/tex] and when added gives [tex]6x[/tex].
The factors are : [tex]2x[/tex] and [tex]4x[/tex]
The next thing is to replace [tex]6x[/tex] in the trinomial by this two factors , that is
[tex]2x^{2} +2x+4x+4[/tex]
Factorizing , we have
[tex]2x(x+1)+4(x+1)[/tex]
which will give
[tex](x+1)(2x+4)[/tex]
