please hepl check screenshot

Answer:
A) [tex]3x+1[/tex]
Step-by-step explanation:
[tex]\dfrac{6x^2+2x}{2x}[/tex]
Factor the numerator by factoring out the common term [tex]2x[/tex]:
[tex]\implies \dfrac{2x(3x+1)}{2x}[/tex]
Cancel the common factor [tex]2x[/tex]:
[tex]\implies 3x+1[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6x^2+2x}{2x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2x(3x+1)}{2x}[/tex]
[tex]\\ \rm\Rrightarrow 3x+1[/tex]
Option A