If Possible, Factor the Polynomial Completely $$a b ^ { 4 } - 9 a ^ { 3 } b ^ { 2 }$$

question 49

Multiple Choice

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
- $$a b ^ { 4 } - 9 a ^ { 3 } b ^ { 2 }$$

• A) \(a \left( b ^ { 2 } + 3 a b \right) \left( b ^ { 2 } - 3 a b \right)\)
• B) \(a b ^ { 4 } - 9 a ^ { 3 } b ^ { 2 }\)
• C) \(a b ^ { 2 } ( b + 3 a ) ( b - 3 a )\)
• D) \(a b ^ { 2 } ( b - 3 a ) ^ { 2 }\)

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Definitions:

Ileocecal Sphincter

A structure that controls the movement of chime from the ileum to the cecum.

Chyme

The mixture of food and gastric juice.

Ileum

The final and longest segment of the small intestine, where the absorption of vitamins, minerals, and nutrients is completed.

Cecum

The first section of the large intestine.