" (viii) "a((alpha^(2))/(beta)+(beta^(2))/(alpha))+b((alpha)/(beta)+(beta)/(alpha))

If alpha and beta are the zeros of the quadratic polynomial f(x)=ax^(2)+bx+c, then evaluate: (i) (beta)/(a alpha+b)+(alpha)/(a beta+b) (ii) a((alpha^(2))/(beta)+(beta^(2))/(alpha))+b((alpha)/(beta)+(beta)/(alpha))

If alpha and beta are the zeros of the quadratic polynomial f(x)=2x^(2)+bx+c ,then evaluate: a[(alpha^(2))/(beta)+(beta^(2))/(alpha)]+b[(alpha)/(beta)+(beta)/(alpha)]

If alpha and beta are roots of ax^(2) + bx + c = 0 , then find the value of a((alpha^(2) + beta^(2))/(beta alpha)) + b((alpha)/(beta) + (beta)/(alpha))

If alpha and beta are the zeros of the quadratic polynomial f(x)=a x^2+b x+c , then evaluate: (i) beta/(aalpha+b)+alpha/(abeta+b) (ii) a((alpha^2)/beta+(beta^2)/alpha)+b(alpha/beta+beta/alpha)

If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0 , find the value of (i) (alpha)/(beta) + (beta)/(alpha) (ii) alpha-beta (iii) (alpha^(2))/(beta) + (beta^(2))/(alpha)

If alpha and beta are the zeros of the quadratic polynomial f(x)=ax^(2)+bx+c, then evaluate: alpha^(2)+beta^(2)( ii) (alpha)/(beta)+(beta)/(alpha)( iii) alpha^(3)+beta^(3)(1)/(a^(3))+(1)/(beta^(3))(v)(alpha^(2))/(beta)+(beta^(2))/(alpha)

If alpha^(2)=5 alpha-3 beta^(2)=5 beta-3 then the value of (alpha)/(beta)+(beta)/(alpha) is

If the roots of the equation ax^(2)-bx+c=0 are alpha,beta, then the roots of the equation b^(2)cx^(2)-ab^(2)x+a^(3)=0 are (1)/(alpha^(3)+alpha beta),(1)/(beta^(3)+alpha beta) b.(1)/(alpha^(2)+alpha beta),(1)/(beta^(2)+alpha beta) c.(1)/(alpha^(4)+alpha beta),(1)/(beta^(4)+alpha beta) d.none of these

Write the formula: alpha^3+beta^3 =…………….a) (alpha+beta)^3-3alphabeta(alpha+beta) b) (alpha-beta)^3+3alphabeta(alpha-beta) c) (alpha+beta)^3-3alphabeta(alpha-beta) d) (alpha-beta)^3-3alphabeta(alpha-beta)