If α, β, γ are the zeros of the polynomial p(x) = 6x3 + 3x2 – 5x + 1, find the value of
.
It is given in the question that,
p (x) = 6x3 + 3x2 – 5x + 1
= 6x3 – (- 3) x2 + (- 5) x – 1
Now by comparing the polynomial with x3 – x2 (
) + x (
–
, we get:
= - 5 and,
= - 1
(
)
= (
)
= (
)
= 5