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If α and β are the zeros of x^2+35x-75, then _______(a) α+βαβ(c) α+β=αβ(d) α+β≠αβThis question was addressed to me in an interview.The above asked question is from Zeros and Coefficients of Polynomial topic in section Polynomials of Mathematics – Class 10

Answer»

The correct ANSWER is (b) α+β>αβ

For explanation: The given polynomial is x^2+35x-75.

The sum of ZEROS, α + β = \(\FRAC {-coefficient \, of \, x}{coefficient \, of \, x^2} = \frac {-35}{1}\) = -35

The product of zeros, αβ = \(\frac {constant \, TERM}{coefficient \, of \, x^2}\) = -75

Clearly, sum of zeros is greater than product of zeros.



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