Question

If a and b are the zeroes of the polynomial x-3x+2 find a quadratic polynomial whose zeroes are 1/2a+b and 1/2b+a

Answer 1

Answer:

x^2 - 3x+2=(x-1)(x-2)

a=1,b=2

1/(2a+b)=1/4, 1/(2b+a)=1/5

Q.P is x^2 - (1/4+1/5)x+1/20

x^2 -( 9/20)x +1/20