Find a Polynomial of Degree 3 with Real Coefficients That $- 4$

question 507

Multiple Choice

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros of $- 4$ and $1 - \mathrm { i } , \mathrm { P } ( 0 ) = 8$

• A) \(P ( x ) = x ^ { 3 } + \frac { 3 } { 2 } x ^ { 2 } - 2 x + 4\)
• B) \(P ( x ) = x ^ { 3 } + 2 x ^ { 2 } + 6 x + 8\)
• C) \(P ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 6 x\)
• D) \(P ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 6 x + 8\)

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Definitions:

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Uniform Distribution

A probability distribution where all outcomes are equally likely to occur.

Independence Test

A statistical procedure used to determine if there is no association between two variables or groups.

Critical Value Approach

A method in hypothesis testing that involves comparing the test statistic to a critical value to decide whether to reject the null hypothesis.