Answer
quotient $4x+3$ and remainder $r(x)=\frac{2}{3x-2}$
Work Step by Step
Step 1. Using long division as shown in the figure, we can obtain $\frac{12x^2+x-4}{3x-2}=4x+3+\frac{2}{3x-2}$
Step 2. We can identify the quotient as $4x+3$ and the remainder as $r(x)=\frac{2}{3x-2}$
