Question

if alpha and beta are the zeroes of the quadratic polynomial f(x)=3x^2-4x+1 find a quadratic polynomial whose zeroes are alpha^2/beta and beta^2/alpha​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

First find the root of this quadratic polynomial

3x^2-4x+1

3x^2-3x-x+1

3x(x-1) -1(x-1)

(3x-1) (x-1)

:. X=1/3 and 1

Alpha=1/3 and beta=1

Then

Alpha^2 /beta=(1/3) ^2/1

=1/9

And

Beta^2/alpha=1^2/1/3

=3

Then, kx^2-(alpha+beta) x+(alpha×beta)

kx^2-(1/9+3) x+1/9×3

9x^2-28x+3

Hence this is the equation