find a cubic polynomial with the sum ,sum of products of its zeros taken two at a time, and the product of its zeros as 2,-7,-14 respectively.
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the roots will be 1, 2, -7
so the polynomial is
(x-1) (x-2) (x+7) =0
= (x²-3x+3) (x+7) =0
= x³-3x²+3x +7x²-21x+21= 0
=x³+4x²-18x+21 = 0
this is the required polynomial
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