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

question 279

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $$f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 5 x + 6 ; k = 1$$

• A) \(( x + 1 ) ( x + 2 ) ( 2 x - 3 )\)
• B) \(( x - 1 ) ( x + 1 ) ( 2 x - 6 )\)
• C) \(( x - 1 ) ( x - 2 ) ( 2 x + 3 )\)
• D) \(( x - 1 ) ( x + 2 ) ( 2 x - 3 )\)

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Definitions:

Clavicle

A long bone that serves as a strut between the shoulder blade and the sternum or breastbone, commonly known as the collarbone.

Scapula

The Scapula, commonly known as the shoulder blade, is a flat, triangular bone located on the back of the shoulder, connecting the humerus with the clavicle.

Sternum

A long flat bone located in the center of the chest, connected to the ribs via cartilage and forming part of the rib cage.

Humerus

A long bone in the upper arm that runs from the shoulder to the elbow, connecting with various muscles and joints.