Factor the Polynomial by Substitution $$6 ( \mathrm { p } + 1 ) ^ { 2 } + 7 ( \mathrm { p } + 1 ) + 2$$

Multiple Choice

Factor the polynomial by substitution.
- $$6 ( \mathrm { p } + 1 ) ^ { 2 } + 7 ( \mathrm { p } + 1 ) + 2$$

A) $( 2 p + 3 ) ( 3 p + 5 )$
B) $( 2 p + 1 ) ( 3 p + 2 )$
C) $( 2 p + 2 ) ( 3 p + 3 )$
D) $( 2 p + 4 ) ( 3 p + 4 )$