Question

If the product of two zeroes of polynomial 2x^3+3x^2-5x_6 is 3 then find its third zero

Answer 1

Hey There,


Here, we have:

$2x^3+3x^2-5x-6$

Let us assume zeros are $\alpha\, , \beta\,and\, \gamma$

Given: Product of Two Zeros = 3.
Let $\alpha\beta=3$

For general cubic expression $ax^3+bx^2+cx+d$

Product of zeros = $-\frac{d}{a}$


So here we can write:

$\alpha\beta\gamma = -\frac{(-6)}{2} = 3 \\ \\ \\ 3 \times \gamma = 3 \\ \\ \\ \implies \boxed{\gamma=1}$


Thus, Third Root is 1.



Hope it helps
Purva
Brainly Community

Answer 2

Answer:

the answer is given in the above pic.

Step-by-step explanation:

hope it helps u