Factor Out the Largest Possible Common Factor $20 x ^ { 8 } y ^ { 9 } - 40 x ^ { 6 } y ^ { 7 } - 28 x ^ { 4 } y ^ { 5 }$

question 110

Multiple Choice

Factor out the largest possible common factor.
- $20 x ^ { 8 } y ^ { 9 } - 40 x ^ { 6 } y ^ { 7 } - 28 x ^ { 4 } y ^ { 5 }$

• A) \(4 x ^ { 4 } y ^ { 5 } \left( 5 x ^ { 4 } y ^ { 4 } - 10 x ^ { 2 } y ^ { 2 } - 7 \right)\)
• B) \(4 \left( 5 x ^ { 8 } y ^ { 9 } - 10 x ^ { 6 } y ^ { 7 } - 7 x ^ { 4 } y ^ { 5 } \right)\)
• C) \(- 4 x ^ { 4 } y ^ { 5 } \left( - 5 x ^ { 4 } y ^ { 4 } - 10 x ^ { 2 } y ^ { 2 } + 7 \right)\)
• D) \(4 x ^ { 4 } \left( 5 x ^ { 4 } y ^ { 9 } - 10 x ^ { 2 } y ^ { 7 } - 7 y ^ { 5 } \right)\)

Recognize patterns that indicate assignable cause variations through pattern tests.

Understand the implications of Type I and Type II errors in the context of statistical process control.

Grasp the significance of tracking the proportion of defectives using p charts.

Apply critical thinking to deduce process stability or need for improvements based on p chart analysis.

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Definitions:

Genomic Parasites

Genetic elements that replicate within the genomes of organisms, often without providing benefits and sometimes causing harm.

Mobile Genetic Elements

Sequences of DNA that can move around to different positions within the genome of a single cell, sometimes causing mutations or changes in the cell's genome.

Antagonistic Coevolution

The evolutionary interaction between species in which changes in the traits of one species lead to changes in the traits of another species, often seen in predator-prey and parasite-host relationships.

Clade

A collection of living beings thought to include all the evolutionary progeny of a shared forebear.