If one of the zeroes of a quadratic polynomial of the form x2+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.

Given quadratic polynomial is  –

Let one of the zero of the polynomial is α

then according to question, the other zero will be – α.

Hence,  the polynomial has no linear term and the constant term is negative.

[Note that the linear term is  ax  and as  a  is  0 ⇒  ax = 0,  that's why we are saying that polynomial has no linear term]

  • 40
What are you looking for?