Remainder & Factor Theorems

Watch the full playlist here: https://youtube.com/playlist?list=PLYwmph9IamQkTznM9cAEokz466yqbMSOh&si=ZPn2Tjwb_ti5XgJ9 Lesson 5: Remainder and Factor Theorems. Learn how to find remainders without long division, test if an expression is a factor, and find unknown coefficients using these powerful theorems. Timestamps: 00:00 - Intro 00:37 - Vocabs 00:53 - Main 04:49 - Remainder Theorem 08:35 - Factor Theorem 15:09 - Example 1 17:53 - Example 2 20:18 - Example 3 23:29 - Example 4 27:22 - Example 5 35:16 - Trial Exercises Tutorial Objectives: 1. State and apply the Remainder Theorem: when P(x) / (x-a), remainder = P(a) 2. State and apply the Factor Theorem: (x-a) is a factor if and only if P(a) = 0 3. Use the theorems to find remainders without long division 4. Use the theorems to check if an expression is a factor 5. Use the Factor Theorem to find unknown coefficients in polynomials #MathTutorial #RemainderTheorem #FactorTheorem #Polynomials #Algebra #SyntheticDivision Lesson 5 is live! Challenge: Find the remainder when P(x) = x³ - 2x² + 4x - 8 is divided by (x - 2). Drop your answer in the comments!