The zeroes of the quadratic polynomial $x^{2}+88 x+125$ are (a) both positive (b) both negative (c) one positive and one negative (d) both equal
The zeroes of the quadratic polynomial $x^{2}+88 x+125$ are (a) both positive (b) both negative (c) one positive and one negative (d) both equal

The correct option is option (b) both negative

$\alpha$ and $\beta$ be the zeroes of $\mathrm{x}^{2}+88 \mathrm{x}+125$

Then $\alpha+\beta=-88$ and $\alpha \times \beta=125$

This can only happen when both the zeroes are negative.