It is important to remember that random coincidences are truly random and _____ correlated

1 answer:

4 0

Random coincidences are set of coincidences which have been selected randomly and thus they don't posses any particular relationship at all. This means that they do not have any dependencies whatsoever and thus, the relationship of random event A to random event say B or C or D is purely none. Therefore, whenever A occurs B will not be affected and whenever B or C or D occurs, A will not be affected at all. Therefore random coincidences are truly random and NOT correlated.

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ser-zykov [4K]

Answer:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$ , for $r_{1} = 0$

Step-by-step explanation:

The general form of quintic-order polynomial is:

$p_{5}(t) = a\cdot x^{5} + b\cdot x^{4} + c\cdot x^{3} + d\cdot x^{2} + e \cdot x + f$

According to the statement of the problem, the polynomial has the following roots:

$p_{5} (t) = (x - r_{1})\cdot (x-3)^{2}\cdot x^{2} \cdot (x+1)$

Then, some algebraic handling is done to expand the polynomial:

$p_{5} (t) = (x - r_{1}) \cdot (x^{3}-6\cdot x^{2}+9\cdot x) \cdot (x+1)\\p_{5} (t) = (x - r_{1}) \cdot (x^{4}-5\cdot x^{3} + 3 \cdot x^{2} + 9 \cdot x)$