Question

17. Find the quadratic polynomial whose zeros are 2 and 6. Vent the
relation between the coefficients and the zeros of the polynomial​

Answer 1

Step-by-step explanation:

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 x2Read more on Sarthaks.com - https://www.sarthaks.com/694833/quadratic-polynomial-whose-zeroes-verify-relation-between-coefficients-zeroes-polynomial?show=694834#a694834