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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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Verify the relation between sum of the zeroes and coefficients of the polynomial x³-3? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Verify the relation between sum of the zeroes and coefficients of the polynomial x³-3? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Verify the relation between sum of the zeroes and coefficients of the polynomial x³-3?.
Verify the relation between sum of the zeroes and coefficients of the polynomial x³-3? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Verify the relation between sum of the zeroes and coefficients of the polynomial x³-3? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Verify the relation between sum of the zeroes and coefficients of the polynomial x³-3?.
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