Find All the Rational Zeros of the Function $f ( x ) = 3 x ^ { 4 } - 16 x ^ { 3 } - 59 x ^ { 2 } + 400 x - 400$

question 30

Multiple Choice

Find all the rational zeros of the function $f ( x ) = 3 x ^ { 4 } - 16 x ^ { 3 } - 59 x ^ { 2 } + 400 x - 400$ .

• A) \(x = - 4,5 , - 5 , - \frac { 3 } { 4 }\)
• B) \(x = 3 , - 20,5\)
• C) \(x = 4,5 , - 5 , \frac { 4 } { 3 }\)
• D) \(x = - \frac { 4 } { 5 } , \frac { 5 } { 3 } , \frac { 4 } { 3 } , - 5\)
• E) \(x = 3 , - 20 , \frac { 5 } { 3 } , \frac { 4 } { 3 }\)

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Definitions:

Contra Asset

An account that is used to reduce the value of a related asset, such as accumulated depreciation reducing the book value of fixed assets.

Normal Balance

The side (debit or credit) of an account that is expected to have a higher balance, indicating the side which increases the account.

Allowance Method

A financial method that estimates the value of debts unlikely to be collected by determining uncollectible accounts each period's end.

Allowance for Doubtful Accounts

A contra asset account that represents the estimated proportion of accounts receivable that may not be collectable.