Math, asked by mmuskaanmuskaan, 1 year ago

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

Answers

Answered by QGP
11
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

Answered by itsmenamrata
1

Answer:

the answer is given in the above pic.

Step-by-step explanation:

hope it helps u

Attachments:
Similar questions