Question

If alpha beta Gama are the zeroes of polynomial 2xcube+xsq-13x+6 the what is the value of alpha beta gama

Answer 1

Given: α, β and γ are the zeroes of the polynomial => $2x^3 + x^2 - 13x + 6$

We know that:

Product of zeroes = $\frac{- constant \; term}{coefficient\; of\;x^3}$

α × β × γ = $\frac{- 6}{2}$

$\fbox{αβγ = -3}$