Find All Rational Zeros and Factor F(x) $f ( x ) = 8 x ^ { 3 } + 2 x ^ { 2 } - 5 x + 1$

question 111

Multiple Choice

Find all rational zeros and factor f(x) .
$f ( x ) = 8 x ^ { 3 } + 2 x ^ { 2 } - 5 x + 1$

• A) \(2,4 , - 1 ; f ( x ) = ( 2 x - 1 ) ( 4 x - 1 ) ( x + 1 )\)
• B) \(\frac { 1 } { 8 } , 4 , - 1 ; f ( x ) = ( 8 x - 1 ) ( x - 4 ) ( x + 1 )\)
• C) \(\frac { 1 } { 8 } , 1 , - 1 ; f ( x ) = ( 8 x - 1 ) ( x - 1 ) ( x + 1 )\)
• D) \(\frac { 1 } { 2 } , \frac { 1 } { 4 } , - 1 ; f ( x ) = ( 2 x - 1 ) ( 4 x - 1 ) ( x + 1 )\)

---

Definitions:

Journalistic Approach

A method of investigation and storytelling intended to report news in a factual, unbiased manner.

Mind Mapping

A visual diagramming technique used to organize information, ideas, or thoughts around a central concept, facilitating problem-solving and idea generation.

Main Idea

The central or most important point that a writer or speaker is attempting to communicate in a text or conversation.

Topic

A topic is the subject matter or the area of discussion, research, or writing, providing a focus or central theme to explore and elaborate upon.