Скачать или смотреть Polynomial Long Division with Remainders (Algebra Help)

Polynomial division is a fundamental skill in algebra, essential for simplifying expressions and solving more complex problems! In this video, you'll learn two key types of polynomial division: dividing by a monomial and polynomial long division.

We'll start with the simpler case of dividing a polynomial by a monomial, showing you how to easily break down the expression. Then, we dive into polynomial long division, a technique similar to numerical long division, but applied to algebraic expressions. You'll see how to systematically divide, distribute, and subtract terms, including how to handle remainders.

This video includes multiple step-by-step examples to ensure you grasp the process, making it perfect for anyone preparing for algebra exams like the ACT or SAT!

Timestamps:
0:00 - Introduction to Polynomial Division
0:25 - Dividing a Polynomial by a Monomial (Example 1)
1:00 - Introduction to Polynomial Long Division
1:35 - Polynomial Long Division Example (x³ + x² - 2x - 8 by x - 2)
4:30 - Handling Remainders in Polynomial Long Division
5:15 - Practice Problem 1: Dividing by a Monomial (16x³ + 4x² - 8x by 2x)
6:15 - Practice Problem 2: Dividing by a Monomial (30c² - 5c + 10 by 5)
7:00 - Practice Problem 3: Polynomial Long Division (x² - 6x + 8 by x - 4)
8:30 - Practice Problem 4: Polynomial Long Division with Remainder (y² + 9y + 17 by y + 2)
10:00 - Conclusion and Importance for Standardized Tests

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