Form a Polynomial F(x) with Real Coefficients Having the Given $2 \mathrm { i }$

question 67

Multiple Choice

Form a polynomial f(x) with real coefficients having the given degree and zeros.
-Degree: 4 ; zeros: $2 \mathrm { i }$ and $- 5 \mathrm { i }$

• A) \(f ( x ) = x ^ { 4 } + 29 x ^ { 2 } + 100\)
• B) \(f ( x ) = x ^ { 4 } - 2 x ^ { 3 } + 29 x ^ { 2 } + 100\)
• C) \(f ( x ) = x ^ { 4 } + 29 x ^ { 2 } - 5 x + 100\)
• D) \(f ( x ) = x ^ { 4 } - 5 x ^ { 2 } + 100\)

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Definitions:

Greater Than

A mathematical symbol (>) indicating that one value is larger or more than another value.

Z-scores

Standard scores that indicate how many standard deviations an element is from the mean.

Standard Normal Distribution

The standard normal distribution is a statistical distribution where the mean is 0 and the standard deviation is 1, representing the distribution of z-scores from any normal distribution.

Between

Typically used in the context of comparing variables or conditions that are separate or distinct from one another.