Find the Quotient and the Remainder $x ^ { 4 } + 3 x ^ { 2 } + 4$

Multiple Choice

Find the quotient and the remainder.
- $x ^ { 4 } + 3 x ^ { 2 } + 4$ divided by $x ^ { 2 } + 1$

A) $x ^ { 2 } + 2 x + 1$ ; remainder 2
B) $x ^ { 2 } + 2 ;$ remainder 2
C) $x ^ { 2 } + 2$ ; remainder 0
D) $x ^ { 2 } + 2 x + \frac { 1 } { 2 } ;$ remainder 0