Use Long Division to Find the Quotient and the Remainder $\frac { 2 x ^ { 6 } + 2 } { x - 1 }$

Multiple Choice

Use long division to find the quotient and the remainder. $\frac { 2 x ^ { 6 } + 2 } { x - 1 }$

A) $\text { quotient: } 2 x ^ { 5 } - 2 x ^ { 4 } + 2 x ^ { 3 } - 2 x ^ { 2 } + 2 x - 2 \text {; remainder: } 0$
B) $\text { quotient: } 2 x ^ { 5 } + 2 x ^ { 4 } + 2 x ^ { 3 } + 2 x ^ { 2 } + 2 x + 2 \text {; remainder: } 4$
C) $\text { quotient: } 2 x ^ { 5 } + 2 x ^ { 3 } + 2 x + 2 ; \text { remainder: } 2$
D) $\text { quotient: } 2 x ^ { 5 } + 2 x ^ { 4 } - 2 x ^ { 3 } + 2 x ^ { 2 } - 2 x + 2 \text {; remainder: } 4$
E) $\text { quotient: } 2 x ^ { 5 } + 2 x ^ { 4 } + 2 x ^ { 3 } + 2 x ^ { 2 } + 2 x + 2 \text {; remainder: } 0$