Answer
False
Work Step by Step
$\frac{6x^{5} + 3x}{3x}$ = 2$x^{4}$
To check if this is true or not, we simplify the left side.
RECALL:
$\frac{b^{n}}{b^{m}}$ = $b^{n-m}$
So, $\frac{6x^{5} + 3x}{3x}$ =
$\frac{6x^{5}}{3x}$ + $\frac{3x}{3x}$ =
$\frac{6}{3}$$x^{5-1}$ + $\frac{3}{3}$$x^{1-1}$ =
2$x^{4}$ + 1
Because 2$x^{4}$ + 1 is not equal to 2$x^{4}$, this statement is false.