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If α, β and γ are the zeros of 5x^3 + 10x^2 – x + 20, then the value of αβγ is _______(a) -1(b) 5(c) -10(d) -4I had been asked this question in a national level competition.This key question is from Zeros and Coefficients of Polynomial in portion Polynomials of Mathematics – Class 10

Answer»

The CORRECT answer is (d) -4

Explanation: α, β and γ are the ZEROS of 5x^3 + 10x^2 – x + 20

The PRODUCT of zeros or αβγ = \(\frac {-constant \, TERM}{coefficient \, of \, x^3} = \frac {-20}{5}\) = -4



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