Question

If one of the zeroes of a quadratic polynomial of the form $x^2+ax+b$ is the negative of the other, then it

• A. has no linear term and the constant term is negative.
• B. has no linear term and the constant term is positive.
• C. can have a linear term but the constant term is negative.
• D. can have a linear term but the constant term is positive.

Answer 1

Answer: (A)

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.