Answer:
A.
![x-9=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4p6g2fhy0qvgcm4pk7a7gu7k87z1jhgk8d.png)
B.
![2x-3=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zkuc46w2u8mdfuxcw6afta5n0k559r2aas.png)
Explanation:
The given equation is:
![2x^2-21x+27=(2x-3)(x-9)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zycf7hv21xudnkxrj2xt55guiegs6pvr6j.png)
The right hand side is the factored form of the left hand side.
Since the quadratic trinomial has been expressed in the factored form for us, we apply the zero product principle to obtain:
or
![x-9=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4p6g2fhy0qvgcm4pk7a7gu7k87z1jhgk8d.png)
Therefore the correct options are A and C
See attachment for the complete question