Perform the indicated operation: (x^3+4x^2+x-6)div (x+2) square

To perform the division of the polynomial \( \left(x^{3}+4 x^{2}+x-6\right) \) by \( (x+2) \), we will use polynomial long division.1. **Setup the division**: 2. **Divide the leading term of the dividend by the leading term of the divisor**: Write above the division line.3. **Multiply by the entire divisor **: 4. **Subtract this result from the original polynomial**: 5. **Repeat the process with the new polynomial **: Write above the division line next to .6. **Multiply by the entire divisor **: 7. **Subtract this result from the current polynomial**: 8. **Repeat the process with the new polynomial **: Write above the division line next to .9. **Multiply by the entire divisor **: 10. **Subtract this result from the current polynomial**: Since the remainder is 0, the quotient is: Thus, the result of the division \( \left(x^{3}+4 x^{2}+x-6\right) \div (x+2) \) is: