Find All the Real Zeros of F(x) = 4x³ - $\frac { 1 } { 4 }$

question 29

Multiple Choice

Find all the real zeros of f(x) = 4x³ - 12x² - 15x - 4.

• A)x = \(\frac { 1 } { 4 }\) , 2
• B)x = \(- \frac { 1 } { 2 }\) , \(- \frac { 1 } { 4 }\)
• C)x = \(\frac { 1 } { 2 }\) , \(- \frac { 1 } { 4 }\)
• D)x = \(- \frac { 1 } { 2 }\) , 4
• E)x = \(- \frac { 1 } { 2 }\) , -4

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Definitions:

Marginal Cost

The cost addition of manufacturing an extra item of a particular product, emphasizing its role in decision-making for production levels.

Purely Competitive

A market structure characterized by many buyers and sellers, where each seller has little to no influence on the market price.

Long-run Equilibrium

A state in which economic forces such as supply and demand are balanced, and all inputs and outputs in the economy are fully adjusted to these conditions over a long period.

Pure Competition

A theoretical market structure with a large number of sellers and buyers, identical products, and no barriers to market entry or exit, promoting efficient pricing.