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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. ​

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

asked
User Bosticko
by
7.5k points

1 Answer

6 votes

Answer:


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

Explanation:

Required polynomial


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

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User Sgvd
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