`alpha = a - b, beta = a+b` then the quadratic polynomial is ……………..

alpha + beta = 0, alpha beta = sqrt(3) then the quadratic polynomial is ……………

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 zeros of the quadratic polynomial f(x)=a x^2+b x+c , then evaluate: (i) alpha-beta (ii) 1/alpha-1/beta (iii) 1/alpha+1/beta-2alphabeta

If alpha and beta are the zeros of the quadratic polynomial 4x^(2) + 4x +1 ,find the quadratic polynomial whose zeros are 2 alpha and 2 beta .

If alpha, beta are the zeroes of the quadratic polynomial 4x^2-1 find the value of alpha^2+beta^2

if alpha and beta are the root of the quadratic polynomial f(x) = x^2-5x+6 , find the value of (alpha^2 beta + beta^2 alpha)

If alpha and beta are the zeros of the quadratic polynomial f(x)=a x^2+b x+c , then evaluate: (i) alpha^2beta+alphabeta^2 (ii) alpha^4+beta^4 (iii) 1/(aalpha+b)+1/(abeta+b)

If alpha and beta are the zeros of the quadratic polynomial p(s)=3s^(2)-6s+4, find the value of (alpha)/(beta)+(beta)/(alpha)+2((1)/(alpha)+(1)/(beta))+3 alpha beta

If alpha and beta are the zeros of the quadratic polynomial p(s)=3s^2-6s+4 , find the value of alpha/beta+beta/alpha+2(1/alpha+1/beta)+3alphabeta .

If alphaa n dbeta are the zeros of the quadratic polynomial f(x)=a x^2+b x+c , then evaluate: alpha^4beta^4