Use Long Division to Divide $\left( 4 x ^ { 3 } - 21 x ^ { 2 } - 33 x + 28 \right) \div ( 4 x + 7 )$

question 40

Multiple Choice

Use long division to divide.​ $\left( 4 x ^ { 3 } - 21 x ^ { 2 } - 33 x + 28 \right) \div ( 4 x + 7 )$ ​

• A) \(x ^ { 2 } - 7 x - 4 , x \neq - \frac { 7 } { 4 }\)
• B) \(4 x ^ { 3 } - 7 x + 4 , x \neq - \frac { 7 } { 4 }\)
• C) \(x ^ { 2 } + 7 x + 4 , x \neq - \frac { 7 } { 4 }\)
• D) \(x ^ { 2 } - 7 x + 4 , x \neq - \frac { 7 } { 4 }\)
• E) \(4 x ^ { 2 } - 7 x - 4 , x \neq - \frac { 7 } { 4 }\)

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Definitions:

Algae

a diverse group of photosynthetic organisms that live in aquatic environments, ranging from unicellular microalgae to large seaweeds.

Rain Shadow

Leeward side (side sheltered from the wind) of a mountainous barrier, which receives much less precipitation than the windward side.

Windward Side

The side of an island, mountain, or landmass that faces the wind and receives the most rain and weather due to prevailing winds.

Leeward Side

The side of an object or area sheltered from the wind, opposite the windward side.