User contributions for Heck

1 April 2024

• 23:1723:17, 1 April 2024 diff hist +14‎ Rational Root Theorem ‎No edit summary current
• 20:4220:42, 1 April 2024 diff hist +1,592‎ N Rational Root Theorem ‎ Created page with " Let $P\in\mathbb{Z}[X]$, and $p,q\in \mathbb{Z}$ , such that $p$$\perp$ $q$, and a$_n,a_0 \neq 0$. {{begin-eqn}} {{eqn | l = P(X) | r = a_nX^n + a_{n-1}X^{n-1} + \cdots + a_1X + a_0 | c = Defintion of $P$ }} {{end-eqn}} Assume that $\frac{p}{q}$ is a root of $P$, To clear denominators, multiply both sides by $q^n$: {{begin-eqn}} {{eqn | l = P\left(\frac{p}{q}\right) | r = a_n\left(\frac{p}{q}\right)^n + a_{n-..."