saadrocks34 saadrocks34

11-05-2021
Mathematics

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

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Hrishii Hrishii

11-05-2021

Answer:

[tex] {x}^{2} + 6x + 5[/tex]

Step-by-step explanation:

Required polynomial

[tex] {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ \\ = {x}^{2} - ( - 6)x + 5 \\ \\ = {x}^{2} + 6x + 5[/tex]

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