write a cubic polynomial whose zeroes are-2,5-6
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Answer: x³ - 4x² + x + 6.
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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