Hi genius people out there.... Can u answer this tricky question..
If α and β are the zeroes of the quadratic polynomial x^2+2x+1, then find the quadratic polynomial
whose zeroes are α^2β and αβ^2
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the answer is given in the picture.
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if a and b are zeroes of x^2 + 2x + 1
then a+b=-b/a= -2
and ab= c/a =1
sum of zeroes of other polynomial =ab(a+b) = 1× -2
product of zeroes= (ab)^3=1
the required polynomial is x^2+2x+1
then a+b=-b/a= -2
and ab= c/a =1
sum of zeroes of other polynomial =ab(a+b) = 1× -2
product of zeroes= (ab)^3=1
the required polynomial is x^2+2x+1
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