Factor Completely Using the Grouping Method to Factor Trinomials $$2 x ^ { 2 } - 7 x - 15$$

question 2

Multiple Choice

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime.
- $$2 x ^ { 2 } - 7 x - 15$$

• A) prime
• B) \(( 2 x + 3 ) ( x - 5 )\)
• C) \(( 2 x - 5 ) ( x + 3 )\)
• D) \(( 2 x - 3 ) ( x + 5 )\)

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Definitions:

Coenzyme A

A coenzyme involved in the synthesis and oxidation of fatty acids, and the oxidation of pyruvate in the citric acid cycle.

Pyruvate

A key intermediate compound in cellular respiration and metabolism, resulting from the glycolysis of glucose.

Acetyl CoA

Acetyl CoA is a central metabolite in energy metabolism, acting as a substrate for the citric acid cycle and involved in the synthesis and oxidation of fatty acids.

Citric Acid Cycle

A sequence of biochemical processes that all oxygen-using organisms employ to produce energy by converting acetate, obtained from carbohydrates, fats, and proteins, into carbon dioxide.