If $α, β$ be the zeroes of the quadratic polynomial $2 x^{2} + 5 x + 1$ , then the value of $α + β + α β$ = ______.

-2

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Solution

The correct option is A -2
For a quadratic equation, $a x^{2} + b x + c = 0$ ,
The sum of the roots= $\frac{- b}{a}$ and product of the roots is $\frac{c}{a}$
Here sum of roots= $α + β = \frac{- 5}{2}$
Product of roots= $α β = \frac{1}{2}$
Therefore, $α + β + α β = \frac{- 5}{2} + \frac{1}{2}$
$\Rightarrow$ $α + β + α β = - 2$
Therefore,Option A is correct.

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