If a polynomial function, written in descending order, has integer coefficients, then any rational zero must be of the form ± p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.
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Rene' Descartes is credited with founding rational root theorem. He also created the rules of signs to be used with solving equations.
When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.
Well, honey, the square root of zero is actually just zero. And guess what? Zero is as rational as it gets in the number world. So, yes, the square root of zero is a rational number. But hey, don't sweat it if math isn't your thing, we can't all be numbers wizards.
Undefined: You cannot divide by zero
Rational expressions are fractions and are therefore undefined if the denominator is zero; the domain of a rational function is all real numbers except those that make the denominator of the related rational expression equal to 0. If a denominator contains variables, set it equal to zero and solve.