Write a quadratic polynomial, sum of whose zeroes is − and product is -1.​

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   If zeros of quadratic polynomial f(x) are know, then find required polynomial by following formula

   Let f(x)=k{x2−(sum of zeros)+x+product of zeros},

   where k=a real number

   Let f(x) be a polynomial

   Sum and product of whose zeros are −3 and 2 respectively

   f(x)=k[x2−(−3)x+2]=k[x2+3x+2] (∵k=real number)

   Thus required polynomial f(x)=x2+3x+2

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