Question

The zeroes are the quadratic polynomial x2+ax+a

Answer 1

Answer:

I have Supposed "K" instead of "A"

Step-by-step explanation:

The zeroes of the quadratic polynomial k≠0 cannot both be positive.

Proof:

Given equation is

, k≠0

Here,

a = 1, b = c = k ----------(1)

Case (i): k < 0

a > 0, b < 0, c < 0 [from (1)]

⇒ Both zeroes have opposite signs -------------(2)

Case (ii): k > 0

a > 0, b > 0, c > 0 [from (1)]

⇒ Both zeroes are negative --------------(3)

∴ From (1) and (2), we can conclude that both zeroes of given quadratic polynomial cannot be positive.