What is relationship between zeroes and coefficients of polynomial?
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The number of zeroes of a polynomial is equal to the degree of the polynomial, and there is a well-defined mathematical relationship between the zeroes and the coefficients. ... When you set a polynomial equal to zero, then you have a polynomial equation where the equations roots are same as the polynomial's zeroes.
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The polynomial zero is equal to -b/a, which is equal to the negative of the constant term divided by the coefficient of x. The sum of zeroes, α+β is −ba, which is negative of the coefficient of x divided by the coefficient of x2.
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