Use Synthetic Division to Determine the Quotient and Remainder for the Division

question 154

Multiple Choice

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 5 } + 7 \right) \div ( x - 1 )$

• A) \(\begin{array} { l }
• \mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1 \\
• \mathrm { R } : - 8
• \end{array}\)
• B) \[Q : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1\]
• \(\mathrm { R } : 8\)
• C) \[\mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1\]
• \(\mathrm { R } : 0\)
• D) \(\begin{array} { l }
• \mathrm { Q } : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1 \\
• \mathrm { R } : - 8
• \end{array}\)
• E) \[\text { Q: } x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1\]
• \(\mathrm { R } : 8\)

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