Question

If a and b are the zeroes of the quadratic polynomial f(x) = x2 – 2x + 1, find a quadratic polynomial whose zeroes are 2 alpha/beta and 2 beta/alpha.

Answer 1

Answer:

If a and b are the zeroes of the quadratic polynomial f(x) = x2 – 2x + 1, find a quadratic polynomial whose zeroes are 2 alpha/beta and 2 beta/alpha

Answer 2

Step-by-step explanation:

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