Question

If α, β are the zeros of the polynomial 2y² + 7y + 5, write the value of α + β + αβ.

Answer 1

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