Write $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 25 x - 75$

question 36

Multiple Choice

Write $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 25 x - 75$ as a product of linear factors.

• A) \(x = ( x - 3 ) ( x + 5 ) ^ { 2 }\)
• B) \(x = ( x - 3 ) ^ { 2 } ( x - 5 i )\)
• C) \(x = ( x - 3 ) ( x - 5 ) ^ { 2 }\)
• D) \(x = ( x - 3 ) ( x + 5 i ) ( x - 5 i )\)
• E) \(x = ( x + 3 ) ( x - 3 ) ( x + 5 )\)

Identify and explain the significance of barriers to entry in monopolistic markets.

Comprehend the relationship between demand, marginal revenue, and pricing strategies in monopoly.

Analyze the impact of economies of scale and ownership of essential resources on market structure.

Distinguish between elastic and inelastic segments of the demand curve and their implications for revenue and pricing.

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