Question

10. The product of the zeroes of the cubic 2x3 – 5x2 – 14x + 8 is - 5 (a) + 4 (b) - 4 - (c) (d) None of these ​

Answer 1

α+β+λ=25(given)⇒α−β−λ=−4(given)and⇒αβ+βλ+λα=−7(given)⇒2x2−5x2−14x+8letrootsareα,β,andgl⇒sumofroots(α+β+λ)=−2(−5)=25⇒productofroots(αβλ)=a−d=2−8=4⇒sumofproductofroots(α+β+λ)2=ac=2−14=7