Question

If alpha and beta are the zeroes of the quad polynomial f(x)=2x2-4x+5 then find a quad polynomial whose zeroes are a+3 and b-2.
please answer it ASAP

Answer 1

Step-by-step explanation:

let alpha = a+3, beta=b-2

alpha+beta=a+3+b-2

=a+b+1

alpha×beta=(a+3)(b-2)

=ab-2a+3b-6

the quadratic polynomial whose zeros are alpha and beta is k(x^2-(alpha+beta)+ alpha×beta)

so, k(x^2-(a+b+1)+ab-2a+3b-6)

. for different values of k there are different values.

if k=1

then the quadratic polynomial is x^2-(a+b+1)+ab-2a+3b-6