Question

if the zeroes of quadratic polynomial ax²+bx+c, c≠0 are equal,then
a) c and a have opposite sign
b) c and a have same sign
c) c and b have Same sign
d) c and b have opposite sign...

please answer properly...
I will mark that as brainalist answer....
please soon...​

Answer 1

Answer:

c and a have same sign.

Step-by-step explanation:

Given,

zeroes of the polynomial ax^2 + bx + c are equal, which means discriminant of this polynomial must be 0.

= > ∆ = 0

= > b^2 - 4ac = 0

= > b^2 = 4ac

= > b = √( 4ac )

= > b = 2√ac

= > b = a real number

For real number, ac must be positive, which says a and c must have same sign for a real polynomial.