1.

Find quadratic polynomial whose zeroes are 3 and – 3.

Answer»

Let the zeroes of the quadratic polynomial be

α = 3 , β = – 3

Then, α + β = 3 + ( – 3) = 0

αβ = 3 × ( – 3) = – 9

Sum of zeroes = α + β = 0

Product of zeroes = αβ = – 9

Then, the quadratic polynomial

= x2 – (sum of zeroes)x + product of zeroes

= x2 – (0)x + ( – 9)

= x2 – 9


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