Question

41. If one of the zeros of a quadratic polynomial of the form x² + ax + b is the negative
of the other, then it
(a) has no linear term and 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.

Please give appropriate reason for the correct answer..​

Answer 1

Answer:

ans (a)

Step-by-step

sum of zeros of quadratic eqn = -a/1=0

ie a=0

product of zeros =b/1=b= -ve no

since one zero is positive and other is negative..

therefore the quadratic does not contain x containing term (linear term)

and also have -ve const term