If Possible, Factor the Polynomial Completely $$- 12 x ^ { 3 } - 50 x ^ { 2 } - 50 x$$

question 44

Multiple Choice

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
- $$- 12 x ^ { 3 } - 50 x ^ { 2 } - 50 x$$

• A) \(- 2 x ( 2 x + 5 ) ( 3 x + 5 )\)
• B) \(- 2 \left( 2 x ^ { 2 } + 5 \right) ( 3 x + 5 )\)
• C) \(x ( - 4 x - 10 ) ( 3 x + 5 )\)
• D) \(x ( 2 x + 5 ) ( - 6 x - 10 )\)

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Definitions:

Proton Spin Decoupled

A technique in NMR spectroscopy where the interactions between proton spins are removed or decoupled, simplifying the spectrum and making it easier to interpret.

P-Diethylbenzene

A type of diethylbenzene where the ethyl groups are attached to para positions on a benzene ring, providing unique chemical properties.

Proton Spin Decoupled

A technique in NMR spectroscopy where the interaction between proton spins is removed, simplifying the spectrum and making it easier to interpret chemical environments.

Proton Spin Decoupled

A technique in NMR spectroscopy where the interaction between proton spins is removed, simplifying the spectrum.