Provide an Appropriate Response $6 x - 7 = A ( 3 x - 4 ) + B ( x + 7 ) + C ( x + 7 )$

question 22

Multiple Choice

Provide an appropriate response.
-Equating the numerators in the process of partial fraction decomposition, your friend has obtained the algebraic expression $6 x - 7 = A ( 3 x - 4 ) + B ( x + 7 ) + C ( x + 7 )$ . From this equation, what can you say about the original expression?

• A) The original expression has a repeating linear factor in the denominator.
• B) The original expression has a non-reducible quadratic factor in the denominator.
• C) The original expression has a numerator of \(( 6 x - 7 ) ( 3 x - 4 ) ( x + 7 ) ( x + 7 )\).
• D) The original expression has the factor \(\left( x ^ { 2 } + 7 \right)\) in the denominator.

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Definitions:

Uncollectible

Refers to debt or receivables that cannot be recovered or are very unlikely to be paid by debtors.

Percent of Sales Method

A financial analysis tool used to forecast future figures by assuming they will be a fixed percentage of sales volume.

Bad Debt Expense

Bad debt expense is an estimate of the uncollectible amounts for credit sales or loans extended, recognized as an expense in the income statement.

Accounts Receivable

Money owed to a company by its customers for goods or services that have been delivered or used but not yet paid for.