Check whether x+2 is a factor polynomial `x^(3)+8x^(2)+9x-6` ?

Explanation

To determine whether \( x + 2 \) is a factor of the polynomial \( x^3 + 8x^2 + 9x - 6 \), we will use polynomial long division. If the remainder is 0 after dividing, then \( x + 2 \) is a factor.

### Step-by-step Solution:

1. **Set up the division**: We will divide \( x^3 + 8x^2 + 9x - 6 \) by \( x + 2 \).

2. **Divide the leading terms**:
- Divide the leading term of the dividend \( x^3 \) by the leading term of the divisor \( x \).
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