# Thread: List Possible Rational Zeros

1. ## List Possible Rational Zeros

List all the possible rational zeros of the following polynomial.

x^2 + sqrt{5}(x) - 2/3

2. Originally Posted by sharkman
List all the possible rational zeros of the following polynomial.

x^2 + sqrt{5}(x) - 2/3
the rational root theorem works for polynomials with integer coefficients.

3. ## but...

Originally Posted by skeeter
the rational root theorem works for polynomials with integer coefficients.
To find the possible rational zeros, don't we divide the factors of the constant by the factors of the leading coefficient?

In other words, factors of 2/3 divided by factors of 1, in this case.

If so, how do I proceed?

4. Originally Posted by sharkman
To find the possible rational zeros, don't we divide the factors of the constant by the factors of the leading coefficient?

In other words, factors of 2/3 divided by factors of 1, in this case.

If so, how do I proceed?

Rational Zeros of Polynomials

5. Originally Posted by sharkman
List all the possible rational zeros of the following polynomial.

x^2 + sqrt{5}(x) - 2/3
I assume this quadratic is equal to zero.

For any quadratic of the form $ax^2 + bx +c = 0$, the solutions are

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.

Since your b value is irrational, I doubt you'll find rational zeroes...