List all the possible rational zeros of the following polynomial. x^2 + sqrt{5}(x) - 2/3
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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.
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?
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? read the first two sentences in the link ... Rational Zeros of Polynomials
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 $\displaystyle ax^2 + bx +c = 0$, the solutions are $\displaystyle x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. Since your b value is irrational, I doubt you'll find rational zeroes...
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