explain in detail relationship between zeroes and coefficients of a polynomial
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Relation Between Coefficients And Zeros Of A Polynomial. ... In general, if α and β are the zeros of the polynomial P(x)= ax^2+bx+c,a≠0, then (x – α) and (x – β) are the factors of P(x). P(x) can be written as, ax^2+bx+c=k(x-α)(x-β), where k is a constant as you can see in the attachment
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Relationship between zeroes and coefficients of a polynomial are as follows:-
⬛Sum of the zeroes= -(coefficient of x)/coefficient of x².
⬛ Product of zeroes= Constant term /coefficient of x².
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