Question

find a cubic polynomial with the sum ,sum of the product of its zeros taken two at a time, and product of its zeros as 3,-1,-3 respectively​

Answer 1

Hope this helps you. .

- Khushali.S.S.

Answer 2

The cubic polynomial is

$p(x) = x^3-3x^2-x^2+3$

Step-by-step explanation:

We are given the following in the question:

Let $\alpha, \beta, \gamma$ be the zeroes of the cubic polynomial.

$\alpha + \beta + \gamma = 3\\\alpha\beta + \beta\gamma + \gamma\alpha = -1\\\alpha\beta\gamma = -3$

General form of cubic polynomial is:

$x^3 -(\alpha+\beta + \gamma)x^2 +(\alpha \beta + \beta \gamma + \gamma \alpha) x - \alpha\beta \gamma$

Putting values, we get,

$p(x) = x^3-3x^2-x^2+3$

is the required polynomial.

#LearnMore

Form the polynomials with zeros -3,-1,2

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