Find a Polynomial of Least Degree with Only Real Coefficients $6 , - 10$

question 416

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $6 , - 10$ , and $2 + 3 \mathrm { i }$

• A) \(f ( x ) = x ^ { 4 } - 8 x ^ { 3 } - 18 x ^ { 2 } + 146 x - 780\)
• B) \(f ( x ) = x ^ { 4 } - 63 x ^ { 2 } + 292 x - 780\)
• C) \(f ( x ) = x ^ { 4 } - 8 x ^ { 3 } + 18 x ^ { 2 } - 146 x + 780\)
• D) \(f ( x ) = x ^ { 4 } - 73 x ^ { 2 } + 292 x - 780\)

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Definitions:

Sexual Arousal Disorder

A condition marked by persistent difficulty in achieving or maintaining an adequate sexual arousal response.

Sexual Pain

Discomfort or pain experienced by an individual during sexual activity, which may have physical or psychological causes.

Sexual Dysfunction

Difficulties experienced by an individual or a couple during any stage of a normal sexual activity, including physical pleasure, desire, preference, arousal, or orgasm.

Erection

A physiological response in which the penis or clitoris becomes engorged with blood and stiffens, often in response to sexual arousal.