Use Synthetic Division to Divide $\left( 4 x ^ { 3 } + 11 x ^ { 2 } - 43 x + 10 \right) \div ( x + 5 )$

question 7

Multiple Choice

Use synthetic division to divide. $\left( 4 x ^ { 3 } + 11 x ^ { 2 } - 43 x + 10 \right) \div ( x + 5 )$

• A) \(4 x ^ { 2 } - 11 x - 5\)
• B) \(4 x ^ { 2 } - 9 x + 2\)
• C) \(4 x ^ { 2 } - 3 x - 10\)
• D) \(4 x ^ { 2 } + 19 x - 4\)
• E) \(4 x ^ { 2 } + 6 x - 8\)

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Definitions:

Beta Oxidation

A metabolic process in which fatty acids are broken down in the mitochondria to generate acetyl-CoA, a substrate for the citric acid cycle.

Acetyl CoA

A critical molecule involved in metabolism, linking the breakdown of carbohydrates, fats, and proteins to energy production.

Oxaloacetate

A four-carbon molecule that participates in the citric acid cycle and gluconeogenesis within cells.

Citric Acid Cycle

A series of chemical reactions used by all aerobic organisms to generate energy through the oxidation of acetate derived from carbohydrates, fats, and proteins into carbon dioxide.