Question

If one of the zeroes of the quadratic polynomial x^2+bx+c is negative of the other then
a. B=0, C is positive
b. B=0, C is negative
c. B not equal to 0, C is positive
d. B not equal to 0, C is negative

Answer 1

has no linear term and the constant term is negative.

If one of the zero of the equation is negative of the other, then the roots will be m and −m

Hence, sum of roots =m−m=0

Sum of roots =−a=0

Thus there will be no linear involved in the term in the equation.

Also, the constant term =b= product of the zeroes =−m

2 , will be negative.