Quadratic polynomial having zeros $1$ and $- 2$ is

x^{2} - x + 2

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x^{2} - x - 2

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x^{2} + x - 2

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none of these

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Solution

The correct option is C $x^{2} + x - 2$
If $x = 1$ and $x = - 2$ are zeros f the quadratic equation, then $(x - 1)$ and $(x + 2)$ are factors so their product will give us the equation.
Therefore
$(x - 1) (x + 2) = x^{2} + 2 x - x - 2$
$= x^{2} + x - 2$

So, option C is correct.

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