How to find relationship between zeroes and coefficients of Quadratic Polynomial
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RELATION BETWEEN ROOTS AND COEFFICIENTS OF QUADRATIC EQUATION - FORMULA
ax
2
+bx+c=0, where a and b are Coefficients of x
2
and x respectively.
Let Roots be α and β
Relation between Roots and Coefficient is
α+β=
a
−b
α.β=
a
c
CONDITION FOR BOTH ROOTS TO BE ZERO - DEFINITION
Let α and β be the roots of a quadratic equation
then the equation is given by
x
2
−(α+β)x+α⋅β=0
If α=β=0
The equation become x
2
=0
Comparing with ax
2
+bx+c=0
we get a=1,b=0 and c=0
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