Find the zeroesof the polynomial 3x'2-2 and verify the relationship between the zeroes and the coefficient
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p(x)=3x^2-2
3x^2-2=0
3x^2=2
x^2=2/3
x=√(2/3),-√(2/3)
Zeroes of p(x) are √(2/3) and -√(2/3)
Relationship between the zeroes and the coefficient
Sum of zeroes=√(2/3)-√(2/3)=0/1×3/3=0/3=-b/a
Product of zeroes=√(2/3)×-√(2/3)=-2/3=c/a
Hence verified.
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