Question

divide. if there is a remainder, include it as a simplified fraction.
$(54x^{2}-24x + 36)div6x$

Explanation:

Step1: Split the polynomial division

$\frac{54x^2 - 24x + 36}{6x} = \frac{54x^2}{6x} - \frac{24x}{6x} + \frac{36}{6x}$

Step2: Simplify each term

$\frac{54x^2}{6x} = 9x$, $\frac{24x}{6x} = 4$, $\frac{36}{6x} = \frac{6}{x}$

Step3: Combine simplified terms

$9x - 4 + \frac{6}{x}$

Answer:

$9x - 4 + \frac{6}{x}$