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Verify the relation between sum of the zeroes and coefficients of the polynomial x³-3?
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Verify the relation between sum of the zeroes and coefficients of the ...
For a no. to be zero of x^3-3 equate this eqn with 0. x^3-3=0 we get x as 3^1/3 ;33^1/3 ;3^1/3. 1 or x=. 3^1/3; -3^1/3;-3^1/3. 2 assign variable a,b,c to each root of x as coefficients of x^2 and x are zero so sum of roots a+b+c = 0 a*b+b*c+c*a= coefficient of x / coefficient of x^3 product of roots = - constant/coefficient of x^3 so a*b*c = 3 and in multiplying the roots in eqn 1 & eqn2 we get the same result. Hence Verified
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Verify the relation between sum of the zeroes and coefficients of the polynomial x³-3?
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