Factor the Polynomial Completely $x y ^ { 2 } + 2 y ^ { 2 } - 9 x - 18$

question 6

Multiple Choice

Factor the polynomial completely. If the polynomial cannot be factored, write "prime."
- $x y ^ { 2 } + 2 y ^ { 2 } - 9 x - 18$

• A) \(( x - 2 ) ( y + 3 ) ( y - 3 )\)
• B) \(( x + 2 ) ( y - 3 ) ^ { 2 }\)
• C) \(( x + 2 ) \left( y ^ { 2 } - 9 \right)\)
• D) \(( x + 2 ) ( y + 3 ) ( y - 3 )\)

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Definitions:

Solvolysis

A type of substitution reaction in which the solvent acts as the nucleophile, attacking a saturated carbon, leading to the replacement of a leaving group.

Reactivity

The tendency of a substance to undergo a chemical reaction, either by itself or with other materials, under certain conditions.

Substrates

The specific substance or surface on which an enzyme acts or to which a molecule binds in a chemical reaction.

1-Iodo-1-Ethylcyclopentane

An organic compound characterized by the presence of an iodine atom and an ethyl group attached to a cyclopentane ring.