Find All the Real Zeros of the Polynomial Function $f ( x ) = x ^ { 5 } - 16 x ^ { 3 } + 64 x$

question 29

Multiple Choice

Find all the real zeros of the polynomial function. $f ( x ) = x ^ { 5 } - 16 x ^ { 3 } + 64 x$

• A) \(0 , \pm \sqrt { 8 }\)
• B) \(0 , \sqrt { 8 }\)
• C) 0,8
• D) \(0 , - 8\)
• E) \(0 , - \sqrt { 8 }\)

---

Definitions:

BCa Interval

Bias-Corrected and accelerated interval, a type of confidence interval used in statistics to provide a range that is likely to contain the true population parameter, accounting for bias and skewness in the bootstrap distribution.

Bootstrap Distribution

A method in statistics for estimating the sampling distribution of an estimator by resampling with replacement from the original sample.

Bootstrap Confidence Interval

A type of confidence interval calculated by resampling a dataset with replacement and estimating the desired statistic multiple times.

Bias

In statistics and research, bias refers to a systematic error that leads to incorrect results by favoring certain outcomes over others unintentionally.