Question

Find all other zeros of x power 4 - 2 x cube minus 8 x square + 18 x minus 9 if two of its zeros are 3 and -3

Answer 1

Answer: all the zeroes of the polynomial are 1,1,3,and -3

Step-by-step explanation: polynomial formed by the given two zeroes is

(x-3) (x+3)

= (x^2-9)

Now dividing x^4 - 2x^3 - 8x^2 +18x - 9 by (x^2-9)

We get quotient = x^2 - 2x + 1

On factorising x^2- 2x +1

We get (x-1)(x-1)

Equating it with 0 we get x=1,1

Hence all the zeroes of the polynomial is 1,1,3,-3 answer