find all the zeroes of the polynomial 2x^4-9x^3+5x^2+3x-1 if two of its zeroes are 2+√3 and 2-√3
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x = 2 + √3 and x = 2 - √3 are Zeros of p ( x )
( x - 2 - √3 ) ( x - 2 + √3 )
( using identity ( a - b ) ( a +b ) = a² - b²
then,
( x - 2 )² - ( √3 )²
x² + 4 - 4x - 3
x² + 1 - 4x .... ( i )
When we divide p ( x ) by ( i ) we get the other zeros
Other zeros are :- x = 1 and x = -1/2
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