Factor the Trinomial Completely $x ^ { 12 } - 5 x ^ { 6 } + 6$

question 149

Multiple Choice

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."
- $x ^ { 12 } - 5 x ^ { 6 } + 6$

• A) \(\left( x ^ { 6 } - 3 \right) ( x - 2 )\)
• B) \(\left( x ^ { 12 } - 3 \right) ( x - 2 )\)
• C) \(\left( x ^ { 6 } - 3 \right) \left( x ^ { 6 } + 2 \right)\)
• D) \(\left( x ^ { 6 } - 3 \right) \left( x ^ { 6 } - 2 \right)\)

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Definitions:

Secured

Protected by collateral or a guarantee, often referring to loans or obligations.

Unregistered Mortgage

A mortgage that has not been formally recorded with the relevant legal or government authorities, potentially affecting its enforceability.

Default

The failure to fulfill a legal obligation, such as not making a payment on a loan.

Equity of Redemption

The right of a borrower to reclaim property put up as collateral after clearing their debt, especially in relation to mortgage agreements.