Question

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

Answer 1

Answer:

x²-(-4)x+4

Step-by-step explanation:

we will let, x²-1= x²-x-1 because to complete the polynomial.

now we have alpha+beta=1

alpha ×beta=-1

now sum of zeroes

2a/b + 2b/a = see photo

& product of zeroes

2a/b + 2b/a = 4ab/ab

= 4(-1)/-1

=4

So the polynomial is above in answer.

that's what I think can be, i hope this would help you...