Factor Completely Using the Trial and Error Method to Factor $x ^ { 6 } - 3 x ^ { 5 } - 18 x ^ { 4 }$

question 79

Multiple Choice

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is
prime.
- $x ^ { 6 } - 3 x ^ { 5 } - 18 x ^ { 4 }$

• A) \(x ^ { 4 } ( x + 3 ) ( x + 6 )\)
• B) \(x ^ { 3 } \left( x ^ { 2 } - 3 x - 18 \right)\)
• C) \(x ^ { 4 } ( x - 3 ) ( x - 6 )\)
• D) \(x ^ { 4 } ( x + 3 ) ( x - 6 )\)

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Definitions:

Dermal

Pertaining to the skin, particularly its deeper, more fibrous layer known as the dermis that contains nerve endings, sweat glands, and blood vessels.

Stratum Granulosum

A layer of the epidermis just below the stratum corneum, characterized by granular cells that contribute to skin’s barrier function and waterproofing.

Keratin

Keratin is a type of structural protein found in hair, nails, and the outer layer of skin, known for its protective properties.

Isotretinoin

A medication primarily used to treat severe acne and prevent certain skin cancers, derived from Vitamin A.