Find a quadratic polynomial, the sum and product of whose zeroes are – 3 and 2, respectively.
Find a quadratic polynomial, the sum and product of whose zeroes are – 3 and 2, respectively.
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Let the polynomial be
Given Sum of Zeroes = -3
So,
assuming a = 1 then,
Given Product of Zeroes = 2
So,
assuming a = 1 then,
Now a = 1, b = 3 and c = 2
Hence the required quadratic polynomial =
=
=