A Polynomial F ( X ) with Real Coefficients and Leading

question 18

Multiple Choice

A polynomial f ( x ) with real coefficients and leading coefficient 1 has the given zero and degree. Express f ( x ) as a product of linear and quadratic polynomials with real coefficients that are irreducible over R. $7 + 2 i \text {; degree } 2$

• A) \(x ^ { 2 } - 49 x + 53\)
• B) \(x ^ { 2 } + 14 x + 53\)
• C) \(x ^ { 2 } - 14 x + 53\)
• D) \(x ^ { 2 } + 49 x + 53\)
• E) \(x ^ { 2 } - 14 x + 49\)

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Definitions:

Frequency

The number of occurrences of a repeating event per unit of time, often used in physics, electronics, and statistics.

Acne

A skin condition characterized by the presence of pimples, blackheads, and cysts, mainly due to oil gland overactivity and pore blockage.

Type I Herpes

Also known as Herpes Simplex Virus Type 1 (HSV-1), it is a virus that typically causes cold sores or fever blisters around the mouth.