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makvit [3.9K]
2 years ago
15

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]2 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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