Question

If α, β, γ are three zeros of the cubic polynomial,p(x) = x 3 − 5x 2 + 7x − 15, then find the value of αβ−1 + βγ−1 + γα−1.

Answer 1

Step-by-step explanation:

α,β and γ are zeros of P(x)

Then, α⋅β⋅γ=−

The coefficient of x

3

The constant term

=−

a

d

Hence, the answer is

a/-da

.

Answer 2

Answer:

4

Step-by-step explanation:

bcz

we know αβ+ βγ + γα= c/a

so here  c=7

a=1

so value of .αβ + βγ + γα=7

7-3=4

Hope it helps u  :)