Question

The zeroes of the quadratic polynomial $x^2+kx+k,k>0,$

• A. cannot both be positive
• B. cannot both be negative
• C. are always unequal
• D. are always equal

Answer 1

The correct option is A cannot both be positive

Product of zeroes = k
The sign is positive it means both the zeroes have same sign.
Sum of zeroes = -k
The sign is negative and both have same sign hence the zeroes are both negative.