If alpha is a zero of the polynomial P(x...

If `alpha` is a zero of the polynomial `P(x) = x^4 + x^2-1`, then the value of the expression `alpha^6 + 2 alpha^4` is (A) rational (C) negative integer (B) neither prime nor composite (D) complex number

Similar Questions

Explore conceptually related problems

If alpha and beta are zeroes of the polynomial p(x) = x^(2) - 5x +6 , then the value of alpha + beta - 3 alpha beta is

If alpha and beta are zeroes of polynomial p(x) = x^(2) - 5x +6 , then find the value of alpha + beta - 3 alpha beta

If alpha and beta are the zeroes of the polynomial 2x^2 + 5x + 1 , then the value of alpha +beta+ alpha beta is

If a and B are the zeroes of the polynomial f(x) = x^(2) - 4x - 5 then find the value of alpha^(2) + beta^(2) .

If alpha, beta are the zeros of the polynomial x^2 + x - 6 , find the value of 1/alpha^(2) + 1/beta^(2) .

If alpha and beta are zeroes of the polynomial 3x^(2)+6x+1 , then find the value of alpha+beta+alpha beta .

If alpha and beta are the zeros of the quadratic polynomial p(x)=4x^2-5x-1 , find the value of alpha^2beta+alphabeta^2 .

If alpha,beta are zeroes of polynomial f(x) =x^(2)-p(x+1)-c , then find the value of (alpha+1)(beta+1) .