Using the Factors $( - 5 x + 2 )$ And $( x - 1 )$

question 17

Multiple Choice

Using the factors $( - 5 x + 2 )$ and $( x - 1 )$ , find the remaining factor(s) of $f ( x ) = 10 x ^ { 4 } + 31 x ^ { 3 } - 84 x ^ { 2 } + 53 x - 10$ and write the polynomial in fully factored form.

• A) \(f ( x ) = ( - 5 x + 2 ) ( - 5 x + 2 ) ( 2 x - 1 ) ( x - 1 )\)
• B) \(f ( x ) = ( - 5 x + 2 ) ( - x - 5 ) ( 2 x - 1 ) ( x - 1 )\)
• C) \(f ( x ) = ( - 5 x + 2 ) ^ { 2 } ( 2 x - 1 ) ( x + 1 )\)
• D) \(f ( x ) = ( - 5 x + 2 ) ( - x + 5 ) ^ { 2 } ( x + 1 )\)
• E) \(f ( x ) = ( - 5 x + 2 ) ^ { 2 } ( x - 1 ) ^ { 2 }\)

Understand the principles of assertiveness and its application in self-advocacy and relationship building.

Evaluate the importance of proper etiquette in email communications and the impact of digital communication on relationships.

Acknowledge and respect the process of relationship development and the role of mutual interests and intellectual connections.

Understand and apply the legal and ethical obligations for creating a harassment-free workplace.

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Definitions:

Liberals and Nationalists

Advocates for liberal policies favoring freedom, democracy, and equality, and nationalists who emphasize strong national identity and sovereignty, often working together in 19th-century European movements for independence and reform.

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Austrian Empire

A centralized absolute monarchy in Central Europe from 1804 to 1867, which became the Austro-Hungarian Empire after the Compromise of 1867.

Multi-lingual

The ability of an individual or system to communicate effectively in multiple languages.