Answer:
[tex](3w+2)(2w^2 + 1)[/tex]
Step-by-step explanation:
[tex]6w^3+4w^2+3w+2[/tex]
[tex]\implies (6w^3+4w^2)+(3w+2)[/tex]
Factor out [tex]2w^2[/tex] from first parentheses and 1 from second:
[tex]\implies 2w^2(3w+2) + 1(3w+2)[/tex]
Factor out common term [tex](3w+2)[/tex]:
[tex]\implies (3w+2)(2w^2 + 1)[/tex]