If α and β are the zeroes of the quadratic polynomial x2+2x+1, then find the quadratic polynomial whose zeroes are alpha beta and alpha beta2
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x2+2x+1 is the square of x+1 hence, the roots alpha and beta are equal to -1.
alpha beta=1
alphabeta2=-1
Sum of these two zeroes=0
Product=-1 hence equation is x2-1
alpha beta=1
alphabeta2=-1
Sum of these two zeroes=0
Product=-1 hence equation is x2-1
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