Answer:
Option C.
Step-by-step explanation:
The given expression is
[tex]\dfrac{2}{3}x+4[/tex]
We need to find the factored form of the given expression.
The given expression can be rewritten as
[tex]\dfrac{2}{3}x+(\dfrac{2}{3}\times \dfrac{3}{2})\times 4[/tex]
[tex]\dfrac{2}{3}x+\dfrac{2}{3}(6)[/tex]
It is clear that [tex]\frac{2}{3}[/tex] is common.
Taking out common factors, we get
[tex]\dfrac{2}{3}(x+6)[/tex]
It is the factored form of the given expression.
Hence, the correct option is C.
