Answer :
Given equation,
[tex]3x^2+8x+5[/tex]To find: Factorize the given equation.
Solution:
Split the middle term into 5 and 3.
[tex]\begin{gathered} 3x^2+3x+5x+5 \\ =3x(x+1)+5(x+1) \\ =(3x+5)(x+1) \end{gathered}[/tex]Hence, the factor of the given equation is (3x+5) and (x+1)