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Generate polynomial from roots

The calculator generates polynomial with given roots.

Polynomial From Roots Generator
input roots 1/2,4 and calculator will generate a polynomial ( show help ↓↓ )
0123456789-/.,del
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examples
example 1: ex 1:
Find a polynomial that has zeros $ 4, -2 $.
example 2: ex 2:
Find the polynomial with integer coefficients having zeroes $ 0, \frac{5}{3}$ and $-\frac{1}{4}$.
example 3: ex 3:
Which polynomial has a double zero of $5$ and has $−\frac{2}{3}$ as a simple zero?
example 4: ex 4:
Find a polynomial that has zeros $0, -1, 1, -2, 2, -3$ and $3$.

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