Solve the Polynomial Equation $$x ^ { 3 } + 4 x ^ { 2 } - 10 x + 12 = 0$$

question 441

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
- $$x ^ { 3 } + 4 x ^ { 2 } - 10 x + 12 = 0$$

• A) \(\{ 1 + i , 1 - i , - 6 \}\)
• B) \(\{ 1 + i , 1 - i , 6 \}\)
• C) \(\{ - 6,6 \}\)
• D) \(\{ 1 + i , 1 - i , 6 i \}\)

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Definitions:

Straight-Line Depreciation

A procedure for apportioning the cost of a tangible good over its operational lifespan in uniform annual amounts.

Initial Investments

The initial capital outlay required to start a project, purchase assets, or acquire a company, reflecting the upfront costs to begin operations.

After-Tax Discount Rate

The discount rate adjusted for the effects of taxes, used in net present value (NPV) calculations to determine the value of future cash flows after tax.

Income Tax Rate

The percentage at which an individual or corporation is taxed on its income, with the rate often varying based on the level of income.