How to find a quadratic polynomial from given zeros?
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Hi friend!!
Let à and ß are the zeroes of the quadratic polynomial.
Here are two methods:-
Method - 1:-
Find sum and product of zeroes!
Sum of zeroes = (à+ß)
Product of zeroes = àß
The quadratic polynomial which has two zeroes is in the form of
x² - (à+ß)x + as
Thus,we can find!
Method-2:-
We should know the relation between zeroes and coefficients.
» Sum of zeroes = -x coefficient/x² coefficient
à+ß = -x coefficient/x² coefficient
» Product of zeroes = constant/x² coefficient
àß = constant/x² coefficient
By substituting the coefficients of x²,x and constant,we can find the quadratic polynomial.
Let à and ß are the zeroes of the quadratic polynomial.
Here are two methods:-
Method - 1:-
Find sum and product of zeroes!
Sum of zeroes = (à+ß)
Product of zeroes = àß
The quadratic polynomial which has two zeroes is in the form of
x² - (à+ß)x + as
Thus,we can find!
Method-2:-
We should know the relation between zeroes and coefficients.
» Sum of zeroes = -x coefficient/x² coefficient
à+ß = -x coefficient/x² coefficient
» Product of zeroes = constant/x² coefficient
àß = constant/x² coefficient
By substituting the coefficients of x²,x and constant,we can find the quadratic polynomial.
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