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

question 17

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) \(\text { quotient: } 2 x ^ { 5 } + 2 x ^ { 4 } + 2 x ^ { 3 } + 2 x ^ { 2 } + 2 x + 2 \text {; remainder: } 0\)

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