What is the relationship between zeroes and co - efficients of a cubic polynomial ? Explain Mathematically .
What is the relationship between zeroes and co - efficients of a cubic polynomial ? Explain Mathematically .
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Let ,
, is a cubic polynomial where , is not equal to zero , and
, and are its zeroes .
Therefore ,
,
and
are the factors of
Now ,
Where , is a constant .
Therefore ,
Now , By comparing the coefficients of
and constant , we get :-
And ,
Now , we can conclude that :
◻ The sum of the zeroes of a cubic polynomial =
◻ The product of the zeroes of a cubic polynomial when taken twice =
◻ The product of the zeroes of a cubic polynomial =