Home
Class 9
MATHS
If alpha and beta are the zeros of the q...

If `alpha` and `beta` are the zeros of the quadratic polynomial `f(x) = x^2 - 3x - 2`, find a quadratic polynomial whose zeros are `1/(2alpha + beta)` and `1/(2beta + alpha)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-3x-2, find a quadratic polynomial whose zeros are (1)/(2 alpha+beta) and (1)/(2 beta+alpha)

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-3x-2, find a quadratic polynomial whose zeros are (1)/(2 alpha+beta) and (1)/(2 beta+alpha)

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

If alpha and beta are the zeros of the quadratic polynomial f(x)=3x^2-4x+1 , find a quadratic polynomial whose zeros are (alpha^2)/beta and (beta^2)/alpha .

If alpha and beta are the two zeroes of the quadratic polynomial x^2-3x+7 , find a quadratic polynomial whose zeroes are 1/alpha and 1/beta .

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

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

If alpha and beta are the zeros of the quadratic polynomial f(x)=3x^(2)-4x+1, find a quadratic polynomial whose zeros are (alpha^(2))/(beta) and (beta^(2))/(alpha).

If alpha and beta are the zeros of the quadratic polynomial f(x) = 3x^2 - 7x - 6 , find a polynomial whose zeros are alpha^(2) and beta^(2)