Question

if alpha and bita are the zeros of the quadratic polynomial f(x) = x square-1, find a quadratic polynomial whose zeros are 2alpha /bita and 2 bita / alpha​

Answer 1

Step-by-step explanation:

f(X)=x²-1

x²-1=0

x²=1

X= 1, -1

let alpha=1 and beta= -1

2alpha/beta= 2*1/-1=-2

2beta/alpha=2*-1/1=-2

Required polynomial=

x²-(sum of zeroes)x+ product of zeroes

x²-(-2+-2)x+ -2*-2

x²-(-4)x+ 4

x²+4x+4

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