Question

The zeroes of the quadratic polynomial $x^2+83x+131$ are:

• A. one positive and one negative
• B. both equal
• C. both positive
• D. both negative

Answer 1

The correct option is D both negative

$x^2+83x+131$

Here product of roots $=131$

And sum of roots $=-83$

Here product of roots is positive

$\Rightarrow$ Both roots are positive or both roots are negative

But sum of root is negative

$\Rightarrow$ Both roots are negative [as the product of roots is positive]

$\therefore$ Both roots are negative.