Question

If α and β are two zeroes of the polynomial 25x2-15x+2, find a
quadratic polynomial whose zeroes are 1/2α and1/2β.

{PLEASE GIVE ANSWER IF YOU KNOW FAST}​

Answer 1

Answer:

50x2-15x+1

Step-by-step explanation:

roots of equation=1/5and 2/5

Let a=1/5 and b=2/5 then a/2=1/10and b/2=1/5

form of a quadratic equation=x2-(sum of the roots)x + (product of the roots)

and hence,

equation for roots a/2 and b/2= 50x2-15x+1=0