Write the Polynomial $x ^ { 4 } - 7 x ^ { 2 } - 8$

question 9

Multiple Choice

Write the polynomial $x ^ { 4 } - 7 x ^ { 2 } - 8$ as the product of factors that are irreducible over the rationals.

• A) \(\left( x ^ { 2 } - 8 \right) \left( x ^ { 2 } - 1 \right)\)
• B) \(\left( x ^ { 2 } - 8 \right) \left( x ^ { 2 } + 1 \right)\)
• C) \(\left( x ^ { 2 } + 8 \right) \left( x ^ { 2 } + 1 \right)\)
• D) \(\left( x ^ { 2 } + 8 \right) \left( x ^ { 2 } - 1 \right)\)
• E) \(\left( x ^ { 2 } - 7 \right) \left( x ^ { 2 } - 1 \right)\)

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Definitions:

Taxes

Compulsory financial charges or levies collected by governments from businesses and individuals to fund public expenditures.

Negative Externalities

Costs suffered by a third party due to an economic transaction that they were not a part of.

Coase Theorem

A principle that asserts that if property rights are well-defined and transaction costs are negligible, parties will negotiate to correct externalities and allocate resources efficiently.

Private Market

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