Kind a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively.
Let the quadratic polynomial be ax3 +bx2 +cx + d and its zeroes be α, β and ϒ.
We have,
and 
When we put a = 1, then b = -2, c=-7, d = 14.
Therefore, the required cubic polynomial be x3 – 2x2 – 7x + 14.
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