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

question 66

Multiple Choice

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 3 } + 4 x ^ { 2 } - 6 x + 1 \right) \div \left( x + \frac { 1 } { 2 } \right)$

• A) Q: \(4 x ^ { 2 } - 2 x + 7\)
• R: 0
• B) Q: \(4 x ^ { 2 } - 2 x + 7\)
• R: \(\frac { 9 } { 2 }\)
• C) \(\begin{array} { l }
• \mathrm { Q } : 4 x ^ { 2 } + 2 x - 7 \\
• \mathrm { R } : - \frac { 9 } { 2 }
• \end{array}\)
• D) \(\begin{array} { l }
• \mathrm { Q } : 4 x ^ { 2 } - 2 x + 7 \\
• \mathrm { R } : - \frac { 9 } { 2 }
• \end{array}\)
• E) Q: \(4 x ^ { 2 } + 2 x - 7\)
• \(\mathrm { R } : \frac { 9 } { 2 }\)

---

Definitions:

Extend

To increase in scope, range, or duration.

Expend Effort

The process of using energy or resources towards accomplishing a task or goal.

Workload

The amount of work assigned to or expected to be completed by an individual or team.

Work-Family Conflict

A form of inter-role conflict in which the demands of work and family roles are incompatible, causing stress.