\documentclass{article}
\usepackage[utf8]{inputenc}

% \maketitle
\title{Trinomios}
\author{Unknown}
\date{2025}
% \maketitle End

\begin{document}

\maketitle

\section{Introduction}

\section{Comun Factor}


$$ AB + AC $$
$$ AB + AC + AA $$
$$ AB + AC + AA - A^2 $$

$$ Factor = A $$

$$ AB + AC + AA - A^2 $$


Formula

$$ = A(B + C + A - A)$$
$$ = A(B) A(C) A(A) A(A)$$


Problems

$$ 5m^2 + 15m^3$$

\[
\begin{array}{rr|r}
5 & 15 & 5 \\
1 & 3  &
\end{array}
\]

$$ = 5m^2(1 + 3m) $$


\section{Trinomio}

Trinomio $X^{2}-BX+C = (X - P)(X - I)$

Formula
$$X^{2}-BX+C = (X - P)(X - I)$$

$$(P)(I) = C$$

$$P-I = B$$

$$I<P$$

Problem
$$ \lim_{x\to5} \frac{X^2-7X+10}{X-5} $$

$$ = \lim_{x\to5} {X^2-7X+10} = {(X-5)(X-2)} $$

$$ = \lim_{x\to5} \frac{X^2-7X+10 = (X-5)(X-2)}{X-5}$$

$$ = \lim_{x\to5} \frac{(X-5)(X-2)}{X-5}$$


$$ = \lim_{x\to5} \left(\frac{X^2-7X+10}{X-5}\right) $$


Problem


$$ = \lim_{x\to5} \frac{(X-5)(X-2)}{X-5}$$


\end{document}