(27) Find all the zeros of the polynomial 23-9x'+5+ 3x - 11f two of it

1.	(27) Find all the zeros of the polynomial 23-9x'+5+ 3x - 11f two of its zeros are(2+3)and(2-3)
Answer» 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

(27) Find all the zeros of the polynomial 23-9x'+5+ 3x - 11f two of its zeros are(2+3)and(2-3)

Answer»

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