If `f(x) = 0` has a repeated root `alpha`, then another equation having `alpha` as root is

If f(x )=0 has a repreated root alpha then another equation having alpha as root is

Assertion (A) : if x^4 -x^3 -6x^2 +4x +8=0 has a multiple root then the equation having the same root is 4x^3 -3x^2 - 12 x +4=0 Reason (R ) : If alpha is repeated root of f(x) =0 then alpha is also a root of f ^1 (x ) =0

Assertion (A) : if x^4 -x^3 -6x^2 +4x +8=0 has a multiple root then the equation having the same root is 4x^3 -3x^2 - 12 x +4=0 Reason (R ) : If alpha is repeated root of f(x) =0 then alpha is also a root of f ^1 (x ) =0

If the equation, x^2+3x+6=0 has roots alpha, beta , then find the equation having roots alpha+beta, alpha-beta is.

Statement-1: If f(x) = 1 + x + (x^(2))/(2!) + (x^(3))/(3!) + (x^(4))/(4!) , then the equation f(x) = 0 has two pairs of repeated roots. Statement-2 Polynomial equation P(x) = 0 has repeated root alpha , if P(alpha) = 0 and P'(alpha) = f0

Statement-1: If f(x) = 1 + x + (x^(2))/(2!) + (x^(3))/(3!) + (x^(4))/(4!) , then the equation f(x) = 0 has two pairs of repeated roots. Statement-2 Polynomial equation P(x) = 0 has repeated root alpha , if P(alpha) = 0 and P'(alpha) = f0

If alpha, beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) is

If alpha and beta are the roots of the equation x^2+x+1=0 , then the equation whose roots are alpha^19 and beta^7 is

If alpha, beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are alpha^(22)" and "beta^(19) , is