Use the Remainder Theorem and Synthetic Division to Find the Function

question 6

Multiple Choice

Use the Remainder Theorem and synthetic division to find the function value. Verify your answers using another method.
$h ( x ) = x ^ { 3 } - 6 x ^ { 2 } - 5 x + 7 , \quad h ( - 8 )$

• A) -849
• B) -847
• C) -851
• D) -848
• E) -845

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Definitions:

Direct Labour Standard

A benchmark for the amount of direct labor time that should be consumed in the production of goods or services, used for costing and efficiency analysis.

Perfection Standard

Ideal or benchmark performance criteria in manufacturing or service delivery that represents the highest possible level of quality or efficiency.

Labour On-costs

Additional costs associated with employing staff, beyond their wages or salaries, including payroll taxes, superannuation, and workers' compensation insurance.

Occasional Inefficiencies

Sporadic or irregular instances where processes or systems do not operate at maximum productivity, leading to potential waste or excess costs.