A Polynomial P(x) and a Divisor D(x) Are Given A) $( x + 3 ) \left( 2 x ^ { 2 } - 5 x + 12 \right) - 34$

question 73

Multiple Choice

A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x) when
P(x) is divided by d(x) , and express P(x) in the form d(x) · Q(x) + R(x) .
- $$\begin{array} { l } \mathrm { P } ( \mathrm { x } ) = 2 \mathrm { x } ^ { 3 } + \mathrm { x } ^ { 2 } - 3 \mathrm { x } + 2 \\\mathrm {~d} ( \mathrm { x } ) = \mathrm { x } + 3\end{array}$$

• A) \(( x + 3 ) \left( 2 x ^ { 2 } - 5 x + 12 \right) - 34\)
• B) \(( x + 3 ) \left( 2 x ^ { 2 } + 7 x + 6 \right) + 8\)
• C) \(( x + 3 ) \left( 2 x ^ { 2 } - 5 x + 12 \right) + 34\)
• D) \(( x + 3 ) \left( 2 x ^ { 2 } - 5 x - 12 \right) - 34\)

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Definitions:

Absolute Level

A term used to describe the total magnitude of a quantity, not compared or relative to other measurements.

Population

The total number of individuals inhabiting a particular area or country.

Equal Distribution

The concept of distributing resources or wealth evenly across a society or group, aiming for fairness and equity.

Income

The financial gain received by an individual or a business as a return for labor, investment, or the production of goods/services.