Question

Find the quadratic polynomial whose zelos are
2 and - 6. Verify the relation between the Coefficients
and the zeros of the polynomial.​

Answer 1

Refer to the attachment

Answer 2

Answer:

Let ∝ = 2 and β = -6

Sum of the zeroes = (∝ + β) = 2 – 6 = -4 Product of the zeroes, = 2(-6) = -12

Required quadratic polynomial is x2 – (∝+β)x + ∝β = x2 – (-4)x – 12 = x2 + 4x – 12 And,

Sum of the zeroes = – 4 = -4/1 = (-Coefficient of x)/(Cofficient of x2) Product of zeroes = -12 = -12/1 = Constant term / Coefficient of x2

Step-by-step explanation:

hope it helps you