write a quadratic polynomial whose zeroes are 2,-6 verify the relation between the coefficient and zeroes of the polynomial
write a quadratic polynomial whose zeroes are 2,-6 verify the relation between the coefficient and zeroes of the polynomial
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we know that,
Let to be alpha and beta are the zero of polynomial
a+b=2-6=-4
ab=2*-6=-12
then,
we know that
ax²-(a+b)x+ab
x²-(-4)x+(-12)
x²+4x-12
then,
Splitting middle term,
x²+4x-12
x²+6x-2x-12
x(x+6)-2(x+6)
(x-2)(x+6)
x-2=0
x=2
x+6=0
x=-6
verified
that's all