Question

If alpha and beta are Zeroes of p(x)=2x²-4x+5,then find a quadratic polynomial, whose zeroes are 2/alpha and 2/ beta

Answer 1

P(x)=2x^2-4x+5

a+b=2

ab=5/2

2a+2b=

2(a+b)=2*2=4

2(ab)=2*5/2=5

Polynomial=x^2-4x+5