question_answer

The Polynomial, \[{{p}^{2}}+\text{ }2q\text{ }-\text{ }{{q}^{2}}+\text{ }{{r}^{2}}-\text{ }1\text{ }-\text{ }2\]pr on factorization gives _____

A) \[\left( p\text{ }+\text{ }1\text{ }+\text{ }q \right)\text{ }\left( p\text{ }+\text{ }q\text{ }\text{ }r\text{ }-\text{ }1 \right)\]

B) \[\left( p\text{ }\text{ }1\text{ }+\text{ }q\text{ }-\text{ }r \right)\text{ }\left( p\text{ }+\text{ }1\text{ }\text{ }q\text{ }-\text{ }r \right)\]

C) \[\left( p\text{ }+\text{ }q\text{ }+\text{ }r\text{ }-1 \right)\text{ }\left( p\text{ }+\text{ }1\text{ }\text{ }q\text{ }+\text{ }r \right)\]

D) \[\left( p\text{ }\text{ }1\text{ }+\text{ }r\text{ }\text{ }q \right)\text{ }\left( q\text{ }+\text{ }p\text{ }\text{ }1\text{ }-r \right)\]

E) None of these