Answer:
There are two rational roots for f(x)
Explanation:
We are given a function
f(x) = x^6-2x^4-5x^2+6f(x)=x6−2x4−5x2+6
To find the number of rational roots for f(x).
Let us use remainder theorem that when
f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.
Substitute 1 for x
f(1) = 1-2-5+6=0
Hence x=1 is one solution.
Let us try x=-1
f(-1) = 1-2-5+6 =0
So x =-1 is also a solution and x+1 is a factor
We can write f(x) by trial and error as
f(x) = (x-1)(x+1)(x^2-3)f(x)=(x−1)(x+1)(x2−3)
We find that f(x) (x^2-3)f(x)(x2−3) factor gives two irrational solutions as
±√3.
Hence number of rational roots are 2.
The format style of Reporting Mann-Whitney U test results APA is said to be given in the image attached.
<h3>How can a person report results of a Mann-Whitney U test?</h3>
In the act of reporting the results of a Mann–Whitney test, it is very vital to state:
- The measure of the central tendencies that pertains to the two groups (means or medians)
- One need to state the value of U.
- One need to state the sample sizes.
- One need to state the significance level.
<h3>What do Mann-Whitney U test results mean?</h3>
The Mann-Whitney U test is known to be one that is often used to make a kind of comparison if or not there exist some difference in the dependent variable for two independent groups.
Note that it often compares if the distribution of the dependent variable is similar for the two groups and as such, The format style of Reporting Mann-Whitney U test results APA is said to be given in the image attached.
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Russia is the mainly European nation that followed eastern orthodoxy in 1600. The correct option is C.
<h3>What is Eastern orthodox?</h3>
Eastern orthodox believes are same as the Christian in many terms. They believe in the incarnation of Jesus. Crucifixion and resurrection of Christ.
The orthodox churches are different in the way or worship and life.
Thus, the correct option is C. Russia.
Learn more about Eastern orthodox
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