A Polynomial F (X) and Two of Its Zeros Are $f ( x ) = 2 x ^ { 5 } + 19 x ^ { 4 } + 75 x ^ { 3 } + 90 x ^ { 2 } - 162 x - 324 ; - 3 - 3 i$

question 215

Multiple Choice

A polynomial f (x) and two of its zeros are given. Solve the equation f (x) = 0.
- $f ( x ) = 2 x ^ { 5 } + 19 x ^ { 4 } + 75 x ^ { 3 } + 90 x ^ { 2 } - 162 x - 324 ; - 3 - 3 i$ and $\frac { 3 } { 2 }$ are zeros

• A) \(\left\{ - 2 , - 3 , \frac { 3 } { 2 } , \pm 3 - 3 i \right\}\)
• B) \(\left\{ - 2 , - 3 , \frac { 3 } { 2 } , - 3 \pm 3 i \right\}\)
• C) \(\left\{ - 2 , \pm \frac { 3 } { 2 } , - 3 \pm 3 i \right\}\)
• D) \(\left\{ - 3 , \pm \frac { 3 } { 2 } , - 3 \pm 3 i \right\}\)

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Definitions:

Phonemes

The smallest unit of sound in a language that can distinguish one word from another.

Linguistic Heuristics

Mental shortcuts or rules of thumb used in language processing and problem-solving based on linguistic information.

Syntax

The set of rules, principles, and processes that govern the structure of sentences in a language, determining word order and arrangement.

Transformational Rule

In linguistics, a rule that takes an input, such as a basic sentence structure, and transforms it into a new structure, often to express a different grammatical mood or voice.