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Generate polynomial from roots

The calculator generates polynomial with given roots.
Example: Input numbers 1/2 , 4 and calculator generates polynomial $x^2 - 9x + 4$.

Polynomial From Roots Generator
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example 1:
Find a polynomial that has zeros $ 4, -2 $.
example 2:
Find the polynomial with integer coefficients having zeroes $ 0, \frac{5}{3}$ and $-\frac{1}{4}$.
example 3:
Which polynomial has a double zero of $5$ and has $−\frac{2}{3}$ as a simple zero?
example 4:
Find a polynomial that has zeros $0, -1, 1, -2, 2, -3$ and $3$.

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