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If alpha and beta ar the zeros of the polynomial f(x)=x^(2)-5x+k such that alpha-beta=1 find the value of k.

If alpha and beta ar the zeros of the polynomial f(x)=x^2-5x+k such that alpha-beta=1, find the value of kdot

If alpha,beta,gamma are the zeroes of the polynomial f(x)=x^(3)-5x^(2)-2x+24 such that alpha beta=12, then

If alpha and beta are the zeros of the polynomial f(x) = 5x^(2) - 7x + 1 , find the value of (1/alpha+1/beta).

If alpha and beta are the zeroes of the polynomial f(x) = 5x^(2) - 7x + 1 , then find the value of ((alpha)/(beta) + (beta)/(alpha)) .

If alpha and beta are the zeros of the polynomial f(x)=2x^(2)+5x+k satisfying the relation alpha^(2)+beta^(2)+alpha beta=(21)/(4) ,then find the value of k for this to be possible.

If alpha and beta are the zeros of the quadratic polynomial f(x)=2x^(2)-5x+7, find a polynomial whose zeros are 2 alpha+3 beta and 3 alpha+2 beta

If alpha and beta are the zeros of the quadratic polynomial f(x) = 3x^(2) – 5x - 2 , then evaluate (i) alpha^(2) + beta^(2) , (ii) alpha^(3) + beta^(3) , (iii) alpha^(2)/beta + beta^(2)/alpha

If alpha and beta are the zeros of the polynomial f(x) = 4x^2 - 5x +1 , find a quadratic polynomial whose zeros are alpha^(2)/beta and beta^(2)/alpha