Multiply and Simplify $\frac { x ^ { 3 } + 6 x ^ { 2 } - 49 x - 294 } { x ^ { 3 } - 6 x ^ { 2 } - 49 x + 294 } \cdot \frac { x ^ { 2 } - 36 } { x }$

question 38

Multiple Choice

Multiply and simplify. $\frac { x ^ { 3 } + 6 x ^ { 2 } - 49 x - 294 } { x ^ { 3 } - 6 x ^ { 2 } - 49 x + 294 } \cdot \frac { x ^ { 2 } - 36 } { x }$

• A) \(\frac { ( x - 6 ) ( x - 7 ) } { x } , x \neq 0 , x \neq \pm 7\)
• B) \(\frac { ( x + 6 ) ( x + 7 ) } { x } , x \neq \pm 6 , x \neq 0\)
• C) \(\frac { ( x - 6 ) ^ { 2 } } { x ( x + 7 ) } , x \neq - 7 , x \neq - 6\)
• D) \(\frac { ( x + 6 ) ^ { 2 } } { x ( x - 7 ) } , x \neq 7 , x \neq 6\)
• E) \(\frac { ( x + 6 ) ^ { 2 } } { x } , x \neq \pm 7 , x \neq 6\)

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Definitions:

Lessor

The party in a lease agreement who owns the asset and grants its use to another party (the lessee) for a specified period in exchange for payment.

Leveraged Lease

The lessor borrows a portion of the funds needed to buy the equipment to be leased.

Lessee's Standpoint

A perspective focusing on the rights, obligations, and financial impacts on the individual or entity that leases an asset from another.

Unleveraged Lease

A lease agreement where the lessee does not increase their leverage ratio by adding debt to finance the lease.