The polynomial function with leading coefficient of 3 and root -4, i, and 2 all with multiplicity of 1 is f(x) = 3(x+4)(x-i)(x+2)
<h3>Polynomial function</h3>
The Leading coefficients are the numbers written in front of the variable with the largest exponent.
Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero.
The multiplicity is the number of times a given factor appears in the factored form of the equation of a polynomial.
Therefore, the polynomial f(x) = 3(x+4)(x-i)(x+2) has a root -4 , 1 and -2.
The leading coefficient is 3. The multiplicity is all one.
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K is the number of groups in one way ANOVA. Since here 4 groups involved. So k here is four.
<u>Explanation:</u>
In statistics, one-way analysis of variance is a technique that can be used to compare means of two or more samples. This technique can be used only for numerical response data, the "Y", usually one variable, and numerical or categorical input data, the "X", always one variable, hence "one-way".
The one-way analysis of variance (ANOVA) is used to determine whether there are any statistically significant differences between the means of two or more independent (unrelated) groups (although you tend to only see it used when there are a minimum of three, rather than two groups).
1. The area of the rhombus can be found by the formula
where 
are rhombus's diagonals.
Note that 
then
2. The diagonals of rhombus are perpendicular and are bisectors of each other. Then the triangle formed with halfs of diagonals is right triangles with legs
The hypotenuse of this triangle is the rhombus's side. By the Pythagorean theorem
3. The distance between the point of intersection of the diagonals and the side of the rhombus is the height of right triangle considered above.
Use twice the Pythagorean theorem to find this height:
where x is projection of leg 12 cm and h is height.
Subtract the first equation from the second:
Then
Answer: 
