Question

If f(x)=2x^4-9x^3+5x^2+3x-1 and 2- root3,2+ root3. Find other two zeroes?

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) = a^2 - b^2

then,

( x - 2)^2 - (√3)^2

x^2 + 4 - 4x - 3

x^2 + 1 - 4x

When we divide p ( x ) by ( i ) we get the other zeros

Other zeros are :- x = 1 and x = -1/2