Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![MA
Grade & Section:
Score:
Name:
Subject: Mathematics 8 Teacher:
Quarter 1 Week 1 LAS 1
: Polynomials with Common Monomial Factor
:Factor polynomials with common polynomial factor
: Math 8 Self-learning Module, DepEd-Region XII, 2020, M8AL-la-b-1
:Jamaico H. Taborada
Lesson
Activity Title
Learning Target
Reference(s)
LAS Writer
Steps to Factoring a Monomial from a Polynomial
1. Determine the GCF of all terms in the polynomial.
2. Divide the GCF in each of the term.
3. Use the distributive property to facior aut the GCF.
Example: Factor 12x? + 42x
Step 1: Determine the GCF
• 12x? = (2)(2)(3)(x)(x)
42x = (2)(3)(7)(x)
> Since 2, 3 and x are common then the GCF is (2)(3)x = 6x
Step 2: Divide the GCF in each of the term
12x2
42x
= 2x,
= 7
6x
6x
> Thus, the other factor is 2x + 7
Step 3: Use the distributive property to factor out the GCF.
• Polynomial = (GCF) (the other factor)
► 12x? + 42x = 6x(2x + 7)
Activity: Factor Me!
Find the factors of each expression.
1. 8a + 10a?
4. 32a b? + 8a?b² - 80a b?
2. 6n2- 9n
5. 20a12b2 + 6a®b-20a b3
3. 16p + 4p°
This space is
for the QR
Code](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0dd6700-0cb5-4b06-a7cd-c50bcf9df105%2F264e17eb-8980-41b0-b13d-2d706f4168e2%2Fuzf5t97_processed.jpeg&w=3840&q=75)
Transcribed Image Text:MA
Grade & Section:
Score:
Name:
Subject: Mathematics 8 Teacher:
Quarter 1 Week 1 LAS 1
: Polynomials with Common Monomial Factor
:Factor polynomials with common polynomial factor
: Math 8 Self-learning Module, DepEd-Region XII, 2020, M8AL-la-b-1
:Jamaico H. Taborada
Lesson
Activity Title
Learning Target
Reference(s)
LAS Writer
Steps to Factoring a Monomial from a Polynomial
1. Determine the GCF of all terms in the polynomial.
2. Divide the GCF in each of the term.
3. Use the distributive property to facior aut the GCF.
Example: Factor 12x? + 42x
Step 1: Determine the GCF
• 12x? = (2)(2)(3)(x)(x)
42x = (2)(3)(7)(x)
> Since 2, 3 and x are common then the GCF is (2)(3)x = 6x
Step 2: Divide the GCF in each of the term
12x2
42x
= 2x,
= 7
6x
6x
> Thus, the other factor is 2x + 7
Step 3: Use the distributive property to factor out the GCF.
• Polynomial = (GCF) (the other factor)
► 12x? + 42x = 6x(2x + 7)
Activity: Factor Me!
Find the factors of each expression.
1. 8a + 10a?
4. 32a b? + 8a?b² - 80a b?
2. 6n2- 9n
5. 20a12b2 + 6a®b-20a b3
3. 16p + 4p°
This space is
for the QR
Code
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