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The sum and product of zeros of a quadratic polynomial are 10 and \(\frac {5}{2}\) respectively. What will be the quadratic polynomial?(a) 2x^2-20x+10(b) 2x^2-x+5(c) 2x^2-20x+5(d) x^2-20x+5I had been asked this question during an online exam.This question is from Zeros and Coefficients of Polynomial in division Polynomials of Mathematics – Class 10

Answer»

Right answer is (C) 2x^2-20x+5

Easy explanation: The sum of the polynomial is 10, that is, α+β = 10

The product of the polynomial is \(\FRAC {5}{2}\) i.e. αβ = \(\frac {5}{2}\)

∴ f(X)=x^2-(α+β)x+αβ

f(x)=x^2-10x+\(\frac {5}{2}\)

f(x)=2x^2-20x+5



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