Find a Polynomial of Least Degree with Only Real Coefficients $1 - \sqrt { 3 } , 1 + \sqrt { 3 }$

question 402

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $1 - \sqrt { 3 } , 1 + \sqrt { 3 }$ , and $1 + i$

• A) \(f ( x ) = x ^ { 4 } + 3 x ^ { 3 } + 4 x ^ { 2 } - 1\)
• B) \(f ( x ) = x ^ { 4 } - 6 x ^ { 3 } + 8 x ^ { 2 } - 4\)
• C) \(f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 4 x ^ { 2 } - 4\)
• D) \(f ( x ) = x ^ { 4 } + 6 x ^ { 3 } + 4 x ^ { 2 } - 4\)

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Endorsement

An amendment or addition to an existing insurance policy to cover additional risks or to modify terms of the contract.

Real Defences

Real defences are legal arguments used in property law to assert a legitimate claim against the enforcement of a property interest or contract, often involving issues of ownership or consent.

Defect Of Title

A legal issue with the title to a property that may prevent a seller from providing clear ownership, affecting the ability to sell or transfer the property.

Personal Defences

Legal arguments used by individuals in court to justify their actions or to deny liability.