Factor F(x) into Linear Factors Given That K Is a Zero

question 489

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $$f ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 25 x + 100 ; k = 5$$

• A) \(( x - 5 ) ( x + 4 ) ( x + 5 )\)
• B) \(x ( x - 5 ) ( x - 4 )\)
• C) \(( x - 5 ) ( x - 4 ) ( x + 5 )\)
• D) \(( x - 5 ) ( x - 4 ) ( x + 4 )\)

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Definitions:

Unilateral Contract

A contract where one party makes a promise in exchange for an act by another party, which upon performance, binds the first party to its promise.

Promissory Estoppel

A law that stops someone from going back on a commitment they've made to another if the second party has trusted this promise to their own disadvantage.

Promissory Estoppel

A judicial doctrine that forbids a party from revoking an assurance given to another party if the recipient has legitimately acted on that promise to their detriment.

Quasi Contract

A legal concept where a court imposes a contractual obligation on a party who has not expressly consented to it, to prevent unjust enrichment.