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Question
If α, β are the zeros of the polynomial 2y2 + 7y + 5, write the value of α + β + αβ.
Solution
Let a and ß are the zeros of the polynomial 2y2 + 7y + 5 .Then
The sum of the zeros = `(-text{Coefficient of Y})/(text{COefficient of }y^2)`The product of the zeros = `\text{Constant term}/\(text{Co - effecient of }y^2)=5/2`
Then the value of `alpha +ß + alphaß` is
`alpha + ß + alphaß`
`(-7)/2+5/2`
`(-7+5)/2`
`(-2)/2`
`-1`
Hence, the value of `alpha + ß + alpha ß` is -1
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