Find the Quotient and Check $\frac { 35 x ^ { 4 } - 11 x ^ { 3 } + 18 x ^ { 2 } + 43 x - 45 } { 7 x - 5 }$

question 75

Multiple Choice

Find the quotient and check. $\frac { 35 x ^ { 4 } - 11 x ^ { 3 } + 18 x ^ { 2 } + 43 x - 45 } { 7 x - 5 }$

• A) \(6 x ^ { 3 } - 6 x ^ { 2 } + 9 x + 8\)
• B) \(5 x ^ { 3 } + 8 x ^ { 2 } - 10 x + 11\)
• C) \(5 x ^ { 3 } + 2 x ^ { 2 } + 4 x + 9\)
• D) \(6 x ^ { 3 } + 4 x ^ { 2 } + 7 x + 5\)
• E) \(5 x ^ { 3 } + 2 x ^ { 2 } + 7 x + 9\)

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Definitions:

Net Capital Gain

The profit from the sale of an asset or investment, subtracted by any losses from sales in the same tax year.

AMT

Short for Alternative Minimum Tax, a parallel tax system designed to ensure that individuals and corporations pay at least a minimum amount of tax.

AMT Income

Income calculated for the Alternative Minimum Tax, which includes certain adjustments and preferences to regular taxable income.

Alternative Minimum Tax

A parallel tax system designed to ensure that high-income individuals, corporations, estates, and trusts pay at least a minimum amount of tax.