Question

find quadratic polynomial whose zeroes are twice the zeroes of 3x^2-2x+7

Answer 1

hi there,

3x^2-2x+7

→let p,q be the zeros

then p+q=2/3

pq=7/3

→so the quadratic polynomial whose zeros are 2p,2q are

x²-(2p+2q)x+(2p)(2q)

→x²-2(p+q)x+4pq

→x²-4/3 x+28/3

→3x²-4x+28
is the required polynomial,

I hope this will help u :)