Question

If α, β and γ are zeroes of the polynomial 6x3 + 3x2 – 5x + 1, then find the value of α-1 + β-1 + γ-1.

Answer 1

Answer:

Step-by-step explanation:

sum of the roots of any degree of polynomial = b/a

6x3 + 3x2 – 5x + 1

a=6, b=3, c=-5, d=1

so α + β + γ = b/a

                  =3/6=1/2=0.5

now, α-1+β-1+ γ-1= α + β + γ-3 = 0.5 -3 = -2.5