Question

find a cubic polynomial with the sun,sum of the products of its zeroes taken two at a time andproduct of its zeroes as 2,-7,-14 respectively

Answer 1

So equation of cubic polynomial of roots $\alpha , \beta , c$
$(x - \alpha) )(x - \beta)(x - c) =$
[tex]x^3 - ( \alpha + \beta + c) x^2 + ( \alpha \beta + \alpha c + \beta c)x - \alpha \beta c = 0 [/tex]
you have given us a + b + c = 2, ab+bc+ca = -7, abc = -14
Equation formed is
$x^3 - 2 x^2 - 7 x + 14 = 0$