Question

Factor the four-term polynomial. pq - 3r + pr - 3q. (p - 3)(q + r) (p - r)(q + 3) (p + 3)(q - r)The expression 3r - 6 can be written as r - 2.

Answer 1

(p - 3)(q + r)

Explanation:

Answer 2

Answer: The correct option is

(A)
`(p-3)(q+r).`

Step-by-step explanation: We are given to factor the following term polynomial :

`P=pq-3r+pr-3q~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following factorization formula :

`ab+ac+db+dc=(a+d)(b+c).`

From (i), we get

`P\\\\=pq-3r+pr-3q\\\\=q(p-3)+r(p-3)\\\\=(p-3)(q+r).`

Thus, the required factored form is
`(p-3)(q+r).`

Option (A) is CORRECT.