Factor Completely $$5 x ^ { 5 } + 10 x ^ { 4 } y - 75 x ^ { 3 } y ^ { 2 }$$

question 45

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$5 x ^ { 5 } + 10 x ^ { 4 } y - 75 x ^ { 3 } y ^ { 2 }$$

• A) \(5 x ^ { 3 } ( x - 3 y ) ( x + 5 y )\)
• B) \(\left( 5 x ^ { 2 } + 15 x y \right) \left( x ^ { 3 } - 5 y \right)\)
• C) \(( x - 3 y ) \left( 5 x ^ { 4 } + 25 x y \right)\)
• D) \(5 x ^ { 3 } ( x + 3 y ) ( x - 5 y )\)

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Definitions:

Accounts Receivable Period

The average number of days that a company takes to collect payments from its credit sales.

Inventory Period

The duration of time it takes for a company to turn its inventory into sales, typically measured in days.

Operating Cycle

The average period of time between the purchase of goods and services for production and the receipt of cash from sales of the final products.

Inventory Turnover

A financial ratio that measures how many times a company's inventory is sold and replaced over a specific period.