FACTORING POLYNOMIALS W/ COMMON MONOMIAL FACTORS IN 2 SIMPLE METHODS (Tagalog)
78This is a Module based lesson for MATH 8 with the topic FACTORING POLYNOMIALS W/ COMMON MONOMIAL FACTORS IN 2 SIMPLE METHODS for Quarter 1 Week 1: PART 1
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Lesson Goals and Objectives
factor out common factors from polynomials
Get to know the different kinds of factorization
Solve problems involving factorization with common factor
Lesson Flow:
0:17 Introduction
1:24 Lesson Goals and Targets
1:44 What is common monomial factoring?
2:14 Monomial concept explained
2:44 Quotient of Monomial
4:24 GCF
5:15 Distributive property
6:16 Example #1 Step by step method
11:18 Short cut method
15:07 Example #2 Step by step method
17:38 Short cut method
18:48 Example #3
22:58 Are all common factor must be monomial?
23:29 Grouping
24:29 Different kinds of factorization
26:49 Short quiz
27:30 Quiz #1
28:30 Quiz #2
30:00 Quiz #3
31:21 Closing message and references
You may also watch connected videos:
Part 2 Difference of two squares: https://youtu.be/XvdX-iYaEzU
Part 3 Perfect Square Trinomials: https://youtu.be/aI_9wzkm_f4
Part 4 General Trinomials: https://youtu.be/fl0Z6x7hN2E
s the process of writing a polynomial as a product of two polynomials, one of which is a monomial that factors each term of the polynomial.
A monomial is an expression that is the product of constants and nonnegative integer powers of x, like 3x^2. A polynomial is a sum of monomials.
The GCF (greatest common factor) of two or more monomials is the product of all their common prime factors. For example, the GCF of 6x6x6, x and 4x^24x24, x, squared is 2x2x2, x.
To understand how to factor out common factors, we must understand the distributive property.
First method: Detailed GCF
Second Method: Direct Division
The common factor in a polynomial does not have to be a monomial.
References:
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-factor/x2ec2f6f830c9fb89:common-factor/a/taking-common-factors
https://www.cgsd.org/site/handlers/filedownload.ashx?moduleinstanceid=195&dataid=1013&FileName=SMP08ALG-NA-TE2-C11-L04-11.pdf
https://www.softschools.com/math/algebra/topics/factoring_polynomials_common_factors/
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