Answer: The correct option is (A)
![3(x^2-7).](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7j9gjj23i8x1sbgyl54x7lmkhg2g46m04y.png)
Step-by-step explanation: We are given to factorize the following quadratic expression completely :
![P(x)=3x^2-21.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ff1lelwc1ghmty1vleqywjnd29x83jic78.png)
To factorize the given expression, first we should take common terms out and then we will continue the process.
The factorization is as follows :
![P(x)\\\\=3x^2-21\\\\=3(x^2-7).](https://img.qammunity.org/2020/formulas/mathematics/middle-school/plgtgr2asf9ivnwwg06jhmj4b7wsy3it3k.png)
Thus, the required factorized form is
![3(x^2-7).](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7j9gjj23i8x1sbgyl54x7lmkhg2g46m04y.png)
Option (A) is correct.