Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 4 } - 113 x ^ { 2 } + 3136$

question 178

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 4 } - 113 x ^ { 2 } + 3136$ and determine the multiplicity of each.

• A)x = 49, multiplicity 2; x = 64, multiplicity 2
• B)x = 7, multiplicity 2; x = 8, multiplicity 2
• C)x = 49, multiplicity 2; x = 8, multiplicity 1
• D)x = -7, multiplicity 2; x = -8, multiplicity 2
• E)x = 7, multiplicity 1; x = -7, multiplicity 1; x = 8, multiplicity 1; x = -8, multiplicity 1

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Definitions:

Bankruptcy Liquidation

The process of selling off a bankrupt company's assets to pay off debts, typically overseen by a liquidator or bankruptcy court.

Unsecured Creditors

Creditors who have extended credit without any specific collateral, making them more vulnerable in the event of the debtor's insolvency.

Direct Bankruptcy Costs

Expenses directly associated with the process of filing for bankruptcy, including legal fees, accounting fees, and other related costs.

Corporate Default

Occurs when a company fails to meet its legal obligations or promises, especially regarding the repayment of its debts.