if alpha and beta are the zeros of the quadratic polynomial f (x) =x square -1 ,find a quadratic polynomial whose zeros are 2 alpha/ beta and 2 beta/ alpha .
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x^2-1=0
alpha^2-1=0
alpha=+-1
now
beta^2-1=0
beta^2=√1
beta=+-1
sum of zeros =-b/a=a=1+1 or -1-1
sum =2 or -2
product of zero = c/a=1×1 ot -1×-1
polynomials are =x^2+2x+1 and x^2-2x+1
alpha^2-1=0
alpha=+-1
now
beta^2-1=0
beta^2=√1
beta=+-1
sum of zeros =-b/a=a=1+1 or -1-1
sum =2 or -2
product of zero = c/a=1×1 ot -1×-1
polynomials are =x^2+2x+1 and x^2-2x+1
mohdzaid1:
wrong
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