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. $$( x + 5 ) \left( x ^ { 2 } - 2 x - 7 \right)$$

A) $x ^ { 3 } + 3 x ^ { 2 } - 17 x - 35$
B) $x ^ { 3 } + 3 x ^ { 2 } - 17 x - 5$
C) $x ^ { 3 } + 5 x ^ { 2 } - 17 x - 35$
D) $x ^ { 3 } + 3 x ^ { 2 } - 17 x + 35$
E) $x ^ { 3 } + 3 x ^ { 2 } - 10 x - 35$