Solve the Problem $\mathrm { V }$ Be In $\mathrm { P } _ { 4 }$

question 15

Multiple Choice

Solve the problem.
-Let $\mathrm { V }$ be in $\mathrm { P } _ { 4 }$ , involving evaluation of polynomials at $- 5 , - 3,0,3$ , and 5 , and view $\mathrm { P } _ { 2 }$ by applying the Gram-Schmidt process to the polynomials $1 , t$ , and $t ^ { 2 }$ .

• A) \(\mathrm { p } _ { 2 } ( \mathrm { t } ) = \mathrm { t } ^ { 2 } - \frac { 68 } { 5 }\)
• B) \(\mathrm { p } _ { 2 } ( \mathrm { t } ) = \mathrm { t } ^ { 2 } - \frac { 18 } { 5 }\)
• C) \(\mathrm { p } _ { 2 } ( \mathrm { t } ) = \mathrm { t } ^ { 2 } - 10\)
• D) \(\mathrm { p } _ { 2 } ( \mathrm { t } ) = \mathrm { t } ^ { 2 } + \frac { 68 } { 5 }\)

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Definitions:

Residual Income

The amount of income that exceeds the minimum target return, often used in performance measurement and managerial compensation.

Return On Investment

A performance measure used to evaluate the efficiency or profitability of an investment, calculated by dividing net profit by the cost of the investment.

Operating Asset

Assets utilized in the daily operations of a business to generate revenue, including both current and long-term assets.

Return On Investment

A financial metric calculating the profitability or efficiency of an investment, expressed as a percentage of the investment's cost.