Factor Completely Using the Grouping Method to Factor Trinomials $$25 x ^ { 3 } y ^ { 4 } + 35 x ^ { 2 } y ^ { 5 } + 12 x y ^ { 6 }$$

question 21

Multiple Choice

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime.
- $$25 x ^ { 3 } y ^ { 4 } + 35 x ^ { 2 } y ^ { 5 } + 12 x y ^ { 6 }$$

• A) \(x y ^ { 4 } ( 5 x + 3 y ) ( 5 x + 4 y )\)
• B) \(x \left( 5 x y ^ { 4 } + 3 y ^ { 5 } \right) ( 5 x + 4 y )\)
• C) \(y ^ { 4 } ( 5 x + 3 y ) \left( 5 x ^ { 2 } + 4 x y \right)\)
• D) prime

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Definitions:

Prefix

A word part that comes at the beginning of a medical term that alters the meaning of the term.

Nervous

Relating to the nervous system, or experiencing anxiety or apprehension.

Epithelial

Pertaining to the epithelium, a tissue composed of cells that line the cavities and surfaces of structures throughout the body.

Cystic Fibrosis

is a genetic disorder that affects the lungs and other organs, characterized by thick, sticky mucus production leading to respiratory and digestive problems.