To find the quotient of the expression 2x² + 10x + 12 divided by 3, we start by simplifying the expression.
The expression can be split into three parts, each divided by 3:
- The first term: (2x²) / 3
- The second term: (10x) / 3
- The third term: (12) / 3
Now we simplify each part:
- For (2x²) / 3, it remains as \frac{2}{3}x².
- For (10x) / 3, it remains as \frac{10}{3}x.
- For (12) / 3, it simplifies to 4.
Combining all parts, we can express the final quotient as:
Quotient = \frac{2}{3}x² + \frac{10}{3}x + 4
Therefore, the answer to the question is:
\frac{2}{3}x² + \frac{10}{3}x + 4