Find the condition which must be satisfi...

Find the condition which must be satisfied by the coefficients of the polynomial `f(x)=x^3-p x^2+q x-r` when the sum of its two zeros is zero.

Similar Questions

Explore conceptually related problems

Find the condition which must be satisfied by the coefficients of the polynomial f(x)=x^(3)-px^(2)+qx-r when the sum of its two zeros is zero.

Find the condition which must be satisfied by the zeros of f(x) = x^(3) - px^(2) + qx - r , when the sum of its two zeros is zero .

Find the zeros of the polynomial f(x)=x^3-5x^2-2x+24 , if it is given that the product of its two zeros is 12.

Find the zero of the polynomial f(x)=x^(2)-3x+2 .

Find the zero of the polynomial: q(x)=2x+3

Find the zeros of the polynomial f(x)=x^(3)-5x^(2)-2x+24, if it is given that the product of its two zeros is 12 .

Find the zeroes of the polynomial p(x)=x(x-2) (x+3)

Find the condition that x^3-px^2+qx-r=0 may have sum of its two roots is zero .

Find the zeroes of the polynomial p(x)=x^3-5x^2-2x+24 if it is given that the product of the two zeroes is 12.

Find zeroes of the polynomial f(x) =x^(3)-13x^(2)+32x-60 , if it is given that the product of its two zeroes is 10.