Question

Find al zeroes of the polynomial (2x -9x+
5x+ 3x-1) if two of its zeroes are (2 + v3 )
and (2- 3).

Answer 1

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

Answer 2

Answer:

The zeros of the polynomial are

$(2 + \sqrt{3} )$

$(2 - \sqrt{3} )$

$1$

$\frac{ - 1}{2}$

Step-by-step explanation:

The given polynomial

$2 {x}^{4} - 9 {x}^{3} + 5 {x}^{2} + 3x - 1$

Also given the zeros of the polynomial

$x = (2 + \sqrt{3} )$

$x = (2 - \sqrt{3} )$

Refer to the attachment provided.

Hopes it helps you :D

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