Find the zeroes of the quadratic polynomial x²-4x-32 and verify the relationship between the zeroes and the coefficients
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Step-by-step explanation:
x2-4x-32
x2-8x+4x-32
x(x-8)+4(x-8)
Therefore, (x-8) and (x+4)=0
x-8=0 , x+4=0
Therefore x=8 and x=-4 are the zeroes
Now,
Sum Of Zeroes = -b/a
(8)+(-4)
8-4 = 4
-(-4)/1 = -coffieceint x/coffiecient of x2
Product of zeroes = c/a
(8) x (-4)
-32/1 = c/a = Constant Term/coffiecient of x2
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