﻿[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.01,0:00:05.60,Default,,0000,0000,0000,,The LCD would be x squared times x plus 2. Remember we want the highest power of Dialogue: 0,0:00:05.60,0:00:10.47,Default,,0000,0000,0000,,any factor that appears in a denominator. So we know x is already a factor of x Dialogue: 0,0:00:10.47,0:00:17.18,Default,,0000,0000,0000,,squared, so we should use x squared. And X plus two for our LCD. Another way to Dialogue: 0,0:00:17.18,0:00:21.59,Default,,0000,0000,0000,,think about this, is to use our factor tree method to find the LCD of X squared Dialogue: 0,0:00:21.59,0:00:26.86,Default,,0000,0000,0000,,and X plus two. We use X squared here, since we know X is already a factor of X Dialogue: 0,0:00:26.86,0:00:32.22,Default,,0000,0000,0000,,squared. Now don't make the mistake of putting X as the common factor here. X Dialogue: 0,0:00:32.22,0:00:37.99,Default,,0000,0000,0000,,plus two is one factor. Wgereas X squared has the factors of X and X. The only Dialogue: 0,0:00:37.99,0:00:44.17,Default,,0000,0000,0000,,common factor for X squared and the quantity X plus two is one. This also makes Dialogue: 0,0:00:44.17,0:00:50.38,Default,,0000,0000,0000,,sense because this X is a term inside this factor. So our LCD is X squared times Dialogue: 0,0:00:50.38,0:00:53.65,Default,,0000,0000,0000,,one times the quantity X plus two.