Question

Find the other Zeros of the polynomial p(x)= x^4 -3√2 x^3 +3x^2+3√2x-4 if two of its zeros are √(2 ) and 2√(2 )

Answer 1

polynomial formed by zeroes √ 2 and 2√2

=. x²- 3√2x+4............(1)

dividing the polynomial by (1)

x²-1 = ( (x-1 ) (x+1)

therefore zeroes are

1 and. --1