Use Long Division to Find the Quotient and the Remainder $\frac { x ^ { 3 } - x ^ { 2 } + 3 x - 6 } { x - 2 }$

question 13

Multiple Choice

Use long division to find the quotient and the remainder. $\frac { x ^ { 3 } - x ^ { 2 } + 3 x - 6 } { x - 2 }$

• A) \(\text { quotient: } x ^ { 2 } - x - 5 \text {; remainder: } 2\)
• B) \(\text { quotient: } x ^ { 2 } + x + 5 \text {; remainder: } 14\)
• C) \(\text { quotient: } x ^ { 2 } + x + 2 \text {; remainder: } - 5\)
• D) \(\text { quotient: } x ^ { 2 } + x + 5 \text {; remainder: } 4\)
• E) \(\text { quotient: } x ^ { 2 } + x - 5 \text {; remainder: } 6\)

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Definitions:

Actual Price Level

The current general price of goods and services in the economy, not adjusted for inflation.

Short-Run Aggregate Supply

The overall quantity of products and services that companies intend to offer for sale within a brief period, based on existing prices.

Aggregate Demand

Overall market demand for goods and services in an economy, determined at a prevailing comprehensive price level for a certain duration.

Equilibrium Output

The level of output where the quantity of goods produced equals the quantity of goods consumed, resulting in market equilibrium.