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# Find a cubic polynomial with the sum, the sum of the product of its zeroes taken two at a time and the product of its zeroes are $$2, -7,-14$$ respectively.

The general form of cubic equation is $$ax^3 + bx^2 + cx + d$$

Let the three zeroes be p,q and r
Here:
$$p + q + r$$ = $${{-b}\over{a}} = 2$$ ............(i)
$$pq + qr + rp$$ = $${{c}\over{a}} = -7$$..........(ii)
$$pqr$$ = $${{-d}\over{a}} = -14$$.................(iii)

On equating (i), (ii) and (iii) => $$a = 1,b = -2,c = -7,d = 14$$

Putting the values of a,b,c and d in general form

=> $$x^3 - 2x^2 - 7x + 14$$