1. If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then find the polynomial.

asked Dec 8, 2022 67.3k views

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Answer:

${x}^(2) + 6x + 5$

Explanation:

Required polynomial

${x}^(2) - ( \alpha + \beta )x + \alpha \beta \\ \\ = {x}^(2) - ( - 6)x + 5 \\ \\ = {x}^(2) + 6x + 5$

Sgvd answered Dec 13, 2022

by Sgvd

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