1.

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


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