Find the Product $$\left( x ^ { 2 } + x + 3 \right) \left( x ^ { 2 } + x + 6 \right)$$

Multiple Choice

Find the product. Assume all variable exponents represent whole numbers.
- $$\left( x ^ { 2 } + x + 3 \right) \left( x ^ { 2 } + x + 6 \right)$$

A) $x ^ { 4 } + x ^ { 3 } + 9 x ^ { 2 } + 9 x + 18$
B) $x ^ { 4 } + x ^ { 3 } - 8 x ^ { 2 } - 9 x + 18$
C) $x ^ { 4 } + 2 x ^ { 3 } + 10 x ^ { 2 } + 9 x + 18$
D) $x ^ { 4 } + 2 x ^ { 3 } - 9 x ^ { 2 } - 3 x + 18$