Question

Find the zeroes of the quadratic polynomial x²−2√2​x and verify the relationship between the zeros and the coefficients.

Answer 1

x² − 2√2​x = 0

⇒ ax² + bx + c

⇒ a = 1, b = −2√2​

x(x−2√2​) = 0

x = 0, 2√2​

∴ ∝ = 0, β = 2√2​