Answer: The correct option is
(A) [tex](p-3)(q+r).[/tex]
Step-by-step explanation: We are given to factor the following term polynomial :
[tex]P=pq-3r+pr-3q~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following factorization formula :
[tex]ab+ac+db+dc=(a+d)(b+c).[/tex]
From (i), we get
[tex]P\\\\=pq-3r+pr-3q\\\\=q(p-3)+r(p-3)\\\\=(p-3)(q+r).[/tex]
Thus, the required factored form is [tex](p-3)(q+r).[/tex]
Option (A) is CORRECT.
