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) \[\text { Q: } x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1\]
• \(\mathrm { R } : 8\)

---

Definitions:

Probability

The degree to which something is probable; the extent to which an event is likely to happen.

Event A

A specific occurrence or happening, often denoted in probability and statistics as a measurable outcome.

Mutually Exclusive

A condition in which the occurrence of one event or situation precludes the occurrence of another.

Compatible Events

Events in probability theory that can occur at the same time.