Intro to Polynomials Made Easy | Algebra Lesson You’ll Actually Get
Learn everything about polynomials in this easy Algebra lesson! We’ll go step-by-step through what makes an expression a polynomial, how to put it in standard form, find its degree and leading coefficient, and classify it as a monomial, binomial, or trinomial. Then, we’ll practice adding and subtracting polynomials with clear, simple examples.
This video is great for beginners or anyone who needs a quick, clear refresher on polynomials — no over-complicated math talk here, just straight-to-the-point explanations that make sense.
Standard form: When the terms of a #polynomial are arranged from the largest exponent to the smallest exponent in decreasing order.
Degree of a polynomial: The largest exponent of the variable.
The leading coefficient is the coefficient of the first term in a polynomial written in standard form.
1 Term ↔ Monomial
2 Terms ↔ Binomial
3 Terms ↔ Trinomial
Degree 0 ↔ Constant
Degree 1 ↔ Linear
Degree 2 ↔ Quadratic
Degree 3 ↔ Cubic
Degree 4 ↔ Quartic
How to Add or Subtract #polynomials : Think "add like terms" or Distribute and Simplify
This video could work for #Algebra students who were absent, or in a flipped classroom.
This PowerPoint is available to purchase: teacherspayteachers.com/Product/11644208 or
https://www.teacherspayteachers.com/S...
0:00 Intro
0:07 Objectives
0:40 Standard Form
2:28 ID Degree and Leading Coefficient
3:23 Classify 5
4:53 Classify 4x - 3
5:50 Classify 6x² + x
6:48 Classify x^3 - 7x^2 + 1
7:42 Classify 5x^4 - 6x^3 + 7x² - 8
8:53 Summary of Degree
10:24 Summary of number of terms
11:01 Defn Standard, Degree, Leading Coefficient, Polynomial
11:46 How to Identify a Polynomial
12:05 Ex3 Practice ID Polys
13:03 Ex4 Practice ID Polys
13:40 Add or Subtract Polys
18:07 Wrap-Up
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