Question

If alpha and beta are two zeroes of x² - 2x + 3 , find the polynomial whose zeroes are alpha / beta , beta / alpha ​

Answer 1

Answer:

absolute value of-61.....

Answer 2

Step-by-step explanation:

f(x)=x

2

−2x+3 have zeroes α,β

⇒α+β=2

⇒α⋅β=3

Now polynomial having α+2,β+2 as roots is

p(x)=x

2

−(α+2+β+2)x+(α+2)(β+2)

=x

2

−(α+β+4)x+αβ+2(α+β)+4

=x

2

−(2+4)x+3+2(2)+4

⇒x

2

−6x+11