Question

if alpha and beta are the zeros of the quadratic polynomial f(x)=4x square-4x+1, find the polynomial whose zeroes are (1 +2alpha) and (1 + 2 beta)

Answer 1

Now ,
Alpha +beat = 1
Alphabeta=1/4

So,now,sum of zeros
1+2alpha +1+2beat=
2 (1+(alpha +beta ))=
4
And then ,
Product of zeros
(1+2alpha )(1+2beta)=
1+2(alpha +beta)+4 (1/4)=
4

So,now
P (x)=x^2+(sum of zeros )x+(product of zeros )=
X^+4x+4

Answer 2

Do as directed...u'll get ur answer