Using the Factors $( x + 4 )$ And $( x + 3 )$

question 108

Multiple Choice

Using the factors $( x + 4 )$ and $( x + 3 )$ , find the remaining factor(s) of $f ( x ) = x ^ { 3 } + 6 x ^ { 2 } + 5 x - 12$ and write the polynomial in fully factored form.

• A) \(f ( x ) = ( x + 4 ) ( x + 3 ) ( x - 1 )\)
• B) \(f ( x ) = ( x + 4 ) ( x + 3 ) ^ { 2 }\)
• C) \(f ( x ) = ( x + 4 ) ( x + 3 ) ( x + 1 )\)
• D) \(f ( x ) = ( x + 4 ) ^ { 2 } ( x + 3 )\)
• E) \(f ( x ) = ( x + 4 ) ( x + 3 ) ( x + 3 )\)

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Definitions:

Seawater

Water from a sea or ocean, characterized by its high salinity and containing various minerals and substances dissolved in it.

Nitrogen Cycle

The series of processes by which nitrogen and its compounds are interconverted in the environment and in living organisms, including nitrogen fixation and decomposition.

Bacteria

Microscopic, single-celled organisms found in diverse environments, capable of performing various biochemical processes.

Nitrogen Fixation

The chemical processes by which atmospheric nitrogen is assimilated into organic compounds, especially by certain microorganisms as part of the nitrogen cycle.