Question

is Isa and beta are the zeros of the polynomial FX equal to x square - 1 find quadratic polynomial whose zeros are 2 alpha by beta and alpha beta by Alpha​

Answer 1

f(x) = x² - 1

f(x)= (x-1)(x+1)

so , zeroes of f(x) is -1 and 1 .

if alpha =1 and beta =-1

2alpha by beta = -2. and alpha beta by alpha = -1

then g(x) = (x+2)(x+1) = x²+3x+2

if alpha =-1 and beta = 1

1 2alpha by beta = -2. and alpha beta by alpha = 1

1 2alpha by beta = -2. and alpha beta by alpha = 1 then h(x) = (x+2)(x-1) = x²+x-2

Answer 2

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