find the zeroes of the quadratic polynomial x²-2x-8 and verify the relationship between the zeroes and cofficient
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x^2-2x-8=0
x^2+2x-4x-8=0
x(x+2)-4(x+2)=0
(x+2)(x-4)=0
x+2=0. x-4=0
x=-2. x=4
alpha=-2. beta=-4
sum of the zeroes= alpha+beta=-b/a
-2+4=-(-2)/1
2=2
product of the zeroes= alpha×beta=c/a
-2×+4=-8/1
-8=-8
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