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Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

8, -14, and 3 + 9i
Let b = supS where S is a bounded subset of R.
(a) Given epsilon > 0, show that there exists an s in S with b - (epsilon) ≤ s ≤ b
Use the fact that the mean of a geometric distribution is μ = 1/p and the variance is σ2 = q/p2.
A company assumes that 0.5% of the paychecks for a year were calculated incorrectly. The company has 200 employees that examines the payroll records from one month.
1. Find the mean, variance, and standard deviation.
2. How many employees payroll records would you expect to examine before finding one with an error?
Given the scalar defined by Φ(x, y, z) =3x²z - xy² + 5, find Φ at the point (-1, -2, -3)
1.Find the values of a and b in each of the following:
i) (5+2√3) / (7+4√3) = a−6√3
ii) (3−√5) / (3+2√5) = a√5−9/11
iii) (√2+√3) / (3√2−2√3) = 2−b√6
iv) (7+√5) / (7−√5) - (7−√5) / (7+√5) = a+7/11√5 b

2.If a=2+√3, then find the value of a - 1/a

3.If a=3+√5 / 2, then find the value of a^2 + 1/a^2

4.Simplify: (7√3) / (√10 + √3) - (2√5) / (√6 +√5 ) - (3√2) / (√15 + 3√2)
It is noted that 8% of kaplan students are left handed if 20 (TWENTY) students are randomly selected, calculate the
1) probability that none of them are left-handed
2) probability that at most 2 are left handed,
3) standard deviation for the number of left-handed student
4)if 50 classes of 20 students are randomly selected,what is the 10 classes have no left handed students?

Can i get the Question 4?

Thank you very much
true/false? prove..
Every function differentiable on [a, b] is bounded on [a, b]
true/false? prove.
1/2 is a limit of the interval ]− 2.5,1.5[
If a ∈ R is such that o , ≤ a ≤ ε ∀ ε > 0 ,then show that a = 0.
Find the upper and lower integrals of the function f defined by
f(x)= (7/2)-2x, ∀ x∈[1,3]
Is f integrable over the interval [1,3]? Justify.
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