Question

if √3 and -√3 are two zeroes of a polynomial x³-x²-3x+3,find it's third zero

Answer 1

Given (x-√3) and(x+√3)are the zeroes.
So (x-√3)(x+√3) is also it's factor.
x^2-3 is also it's factor.
Now,we decide this factor by the given polynomial.
We then get the quotient as x-1.
Which means (x-1) is the other factor.