Answer:
the highest common factor of the polynomial is (x + 2) (x - 3)
Explanation:
The computation of the highest common factor of the polynomial is as follows:
According to the question, the following equation is given
'
![x^2 - x - 6](https://img.qammunity.org/2021/formulas/mathematics/high-school/yf8wwp90eymvunb5zjqgr7etkesmojj78y.png)
Now do the factorization
![x^2 -3x + 2x - 6](https://img.qammunity.org/2021/formulas/mathematics/college/i9svaqxh3ly6rezkr4tr7ykdjvfir8k8gk.png)
x(x - 3) +2 (x - 3)
(x + 2) (x - 3)
hence, the highest common factor of the polynomial is (x + 2) (x - 3)
The same is to be considered