3 years ago

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

Mathematics

1 answer:

creativ13 [48]3 years ago

6 0

Answer:

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

Step-by-step explanation:

Required polynomial

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

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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.