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:

Ganglia

Structures containing a number of nerve cell bodies, typically linked by synapses, and often forming a swelling on a nerve path.

Axons

Long, slender projections of nerve cells, or neurons, which are responsible for transmitting electrical impulses away from the neuron's body.

Hypothalamic Functions

Activities and regulatory processes carried out by the hypothalamus, a region of the brain involved in homeostasis, including body temperature, hunger, and thirst regulation.

Myelin Sheath

A fatty layer that surrounds neurons, providing insulation and speeding up the transmission of electrical signals.