Question

If one of the zeroes of the quadratic polynomial x2+ax+b is the negative of the

other, find the value of a​

Answer 1

Answer:

if one of the zeroes of quadratic polynomial p(x) is the negative of the other, then it has no linear term i.e., a = O and the constant term is negative i.e., b< 0.

Step-by-step explanation:

Let p(x) = x2 + ax + b.

Put a = 0, then, p(x) = x2 + b = 0

⇒ x2 = -b

⇒ x = ± ±√-b

[∴b < 0]

Hence above answer satisfied