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

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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