Factor Out the GCF from the Polynomial $18 x ^ { 9 } y ^ { 9 } + 63 x ^ { 7 } y ^ { 7 } + 54 x ^ { 5 } y ^ { 5 }$

question 94

Multiple Choice

Factor out the GCF from the polynomial.
- $18 x ^ { 9 } y ^ { 9 } + 63 x ^ { 7 } y ^ { 7 } + 54 x ^ { 5 } y ^ { 5 }$

• A) \(9 x ^ { 5 } y ^ { 5 } \left( 2 x ^ { 4 } y ^ { 4 } + 7 x ^ { 2 } y ^ { 2 } + 6 \right)\)
• B) \(9 \left( 2 x ^ { 9 } y ^ { 9 } + 7 x ^ { 7 } y ^ { 7 } + 6 x ^ { 5 } y ^ { 5 } \right)\)
• C) \(- 9 x ^ { 5 } y ^ { 5 } \left( - 2 x ^ { 4 } y ^ { 4 } + 7 x ^ { 2 } y ^ { 2 } - 6 \right)\)
• D) \(9 x ^ { 5 } \left( 2 x ^ { 4 } y ^ { 9 } + 7 x ^ { 2 } y ^ { 7 } + 6 y ^ { 5 } \right)\)

---

Definitions:

External Factors

Influences that originate outside an individual or system that can affect behavior, decisions, or outcomes within.

Genetics

The examination of genetic inheritance and the differences in traits passed down through generations.

Nutrition

The science that interprets the interaction of nutrients and other substances in food in relation to maintenance, growth, reproduction, health, and disease of an organism.

Middle Childhood

A developmental stage that generally includes children from 6 to 12 years of age, focusing on growth in cognitive, physical, and social domains.