Find a cubic polynomial with the sum of its zeroes ,sum of the product of its zeroes taken two at time and product of its zeroes are 5,-11,-23 respectively
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Step-by-step explanation: Let the zeroes be α,β,γ. Given Zeroes are 3,2,-1. (i) Sum of its Zeroes: ⇒ α + β + γ = 3 + 2 - 1. = 4. (ii) Sum of the product taken two at a time: ⇒ αβ + βγ + γα = 3 * 2 + 2 * -1 + 3 * -1. = 1. ...
Therefore, the cubic polynomial is x³ - 4x² + x + 6. Hope it helps!
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