Find the Indicated Product by Applying the Distributive Property and Combining

Multiple Choice

Find the indicated product by applying the distributive property and combining similar terms. $( x + 1 ) \left( x ^ { 2 } + 4 x + 1 \right)$

A) $x ^ { 3 } + 1 x ^ { 2 } + 5 x + 1$
B) $x ^ { 3 } + 5 x ^ { 2 } + 5 x + 1$
C) $x ^ { 3 } + 5 x ^ { 2 } + 5 x$
D) $x ^ { 3 } + 5 x ^ { 2 } + 4 x + 1$
E) none of these