SlideShare uma empresa Scribd logo
1 de 12
7.2 Greatest Common Monomial Factor Objective:   ,[object Object],Frameworks:   10.P.3, 10.P.5
What is the area of this rectangle? x y 5
What is the area of this rectangle? 5x + 5y    OR  5(x + y) x y 5
Factoring The distributive property can be used to multiply a polynomial by a monomial: 2(x2 – 3x – 5) = 2x2 – 6x - 10 The distributive property can also be used to factor polynomials: 3x2 – 9x + 6  = 3(x2 – 3x + 2)
Factor out the GCF from 5y2 + 10y + 20 Find the GCF: 5y2 – 5*y2 10y = 5*2y 20 = 5*4 Write each term as a product of 5 and a monomial: 5(y2) + 5(2y) +5*(4) Use the distributive property: 5(y2 + 2y +4)
Factor out the GCF from    t5 + 8t4 + t3
Factor out the GCF from    2b4 – 10b3 + 8b2
Factor out the GCF from    24a2b5 – 8a7b6 + 12a4b3
Find the area of the shaded region: Write the result in factored form. Area of square: Area of circle: r
Do p. 250 1-20
FOIL With Negatives (x - 3)(x - 5) First terms:   x and x         x2 Outside terms:  x and 5            -5x Inside terms:  3 and x               -3x Last terms:  3 and 5                          15 Answer:                             x2 + -8x + 15

Mais conteúdo relacionado

Mais procurados

2/27/12 Special Factoring - Sum & Difference of Two Cubes
2/27/12 Special Factoring - Sum & Difference of Two Cubes2/27/12 Special Factoring - Sum & Difference of Two Cubes
2/27/12 Special Factoring - Sum & Difference of Two Cubes
jennoga08
 
Factoring polynomials
Factoring polynomialsFactoring polynomials
Factoring polynomials
jilllenz
 
05 perfect square, difference of two squares
05   perfect square, difference of two squares05   perfect square, difference of two squares
05 perfect square, difference of two squares
majapamaya
 
Factoring difference of two squares
Factoring difference of two squaresFactoring difference of two squares
Factoring difference of two squares
laila_barrera
 

Mais procurados (20)

Factoring Perfect Square Trinomial
Factoring Perfect Square TrinomialFactoring Perfect Square Trinomial
Factoring Perfect Square Trinomial
 
2/27/12 Special Factoring - Sum & Difference of Two Cubes
2/27/12 Special Factoring - Sum & Difference of Two Cubes2/27/12 Special Factoring - Sum & Difference of Two Cubes
2/27/12 Special Factoring - Sum & Difference of Two Cubes
 
Fatoring Non Perfect Square Trinomial
Fatoring Non Perfect Square TrinomialFatoring Non Perfect Square Trinomial
Fatoring Non Perfect Square Trinomial
 
Factoring polynomials
Factoring polynomialsFactoring polynomials
Factoring polynomials
 
factoring perfect square trinomial
factoring perfect square trinomialfactoring perfect square trinomial
factoring perfect square trinomial
 
FACTORING
FACTORINGFACTORING
FACTORING
 
Factoring Polynomials
Factoring PolynomialsFactoring Polynomials
Factoring Polynomials
 
factoring polynomials
factoring polynomialsfactoring polynomials
factoring polynomials
 
Factoring Polynomials with common monomial factor
Factoring Polynomials with common monomial factorFactoring Polynomials with common monomial factor
Factoring Polynomials with common monomial factor
 
Common monomial factoring
Common monomial factoringCommon monomial factoring
Common monomial factoring
 
1.1 ss factoring the difference of two squares
1.1 ss factoring the difference of two squares1.1 ss factoring the difference of two squares
1.1 ss factoring the difference of two squares
 
Factoring Perfect Square Trinomial - SIM
Factoring Perfect Square Trinomial - SIMFactoring Perfect Square Trinomial - SIM
Factoring Perfect Square Trinomial - SIM
 
Factoring the difference of two squares
Factoring the difference of two squaresFactoring the difference of two squares
Factoring the difference of two squares
 
perfect square trinomial
perfect square trinomialperfect square trinomial
perfect square trinomial
 
Factoring Perfect Square Trinomials
Factoring Perfect Square TrinomialsFactoring Perfect Square Trinomials
Factoring Perfect Square Trinomials
 
Perfect square
Perfect squarePerfect square
Perfect square
 
05 perfect square, difference of two squares
05   perfect square, difference of two squares05   perfect square, difference of two squares
05 perfect square, difference of two squares
 
Factoring difference of two squares
Factoring difference of two squaresFactoring difference of two squares
Factoring difference of two squares
 
Factoring by grouping
Factoring by groupingFactoring by grouping
Factoring by grouping
 
Factoring Quadratic Trinomials
Factoring Quadratic TrinomialsFactoring Quadratic Trinomials
Factoring Quadratic Trinomials
 

Semelhante a Algebra 7 Point 2 (20)

factoring and the other ones polynomials2.ppt
factoring and the other ones polynomials2.pptfactoring and the other ones polynomials2.ppt
factoring and the other ones polynomials2.ppt
 
Alg II Unit 4-4 Factoring Quadratic Expressions
Alg II Unit 4-4 Factoring Quadratic ExpressionsAlg II Unit 4-4 Factoring Quadratic Expressions
Alg II Unit 4-4 Factoring Quadratic Expressions
 
Factoring Polynomials (1).pptx
Factoring Polynomials (1).pptxFactoring Polynomials (1).pptx
Factoring Polynomials (1).pptx
 
Math083 day 1 chapter 6 2013 fall
Math083 day 1 chapter 6 2013 fallMath083 day 1 chapter 6 2013 fall
Math083 day 1 chapter 6 2013 fall
 
1.1-1.2.ppt
1.1-1.2.ppt1.1-1.2.ppt
1.1-1.2.ppt
 
Mathnasium Presentation (1)
Mathnasium Presentation (1)Mathnasium Presentation (1)
Mathnasium Presentation (1)
 
Factoring Polynomials
Factoring PolynomialsFactoring Polynomials
Factoring Polynomials
 
Q1-W1-Factoring Polynomials.pptx
Q1-W1-Factoring Polynomials.pptxQ1-W1-Factoring Polynomials.pptx
Q1-W1-Factoring Polynomials.pptx
 
Algebra 7 Point 3
Algebra 7 Point 3Algebra 7 Point 3
Algebra 7 Point 3
 
Factoring
FactoringFactoring
Factoring
 
Prashant tiwari ppt.on
Prashant tiwari ppt.on Prashant tiwari ppt.on
Prashant tiwari ppt.on
 
March 6
March 6March 6
March 6
 
Math AB Chapter 8 Polynomials
Math AB Chapter 8 PolynomialsMath AB Chapter 8 Polynomials
Math AB Chapter 8 Polynomials
 
Simple factoring
Simple factoringSimple factoring
Simple factoring
 
Perfect square of Binomials
Perfect square of BinomialsPerfect square of Binomials
Perfect square of Binomials
 
Polynomials and factoring
Polynomials and factoringPolynomials and factoring
Polynomials and factoring
 
POLYNOMIALS
POLYNOMIALSPOLYNOMIALS
POLYNOMIALS
 
Algebra unit 8.8
Algebra unit 8.8Algebra unit 8.8
Algebra unit 8.8
 
10.6
10.610.6
10.6
 
PMR Form 3 Mathematics Algebraic Fractions
PMR Form 3 Mathematics Algebraic FractionsPMR Form 3 Mathematics Algebraic Fractions
PMR Form 3 Mathematics Algebraic Fractions
 

Mais de herbison

Chapter 2 notes new book
Chapter 2 notes new bookChapter 2 notes new book
Chapter 2 notes new book
herbison
 
Week 2 applying for jobs
Week 2 applying for jobsWeek 2 applying for jobs
Week 2 applying for jobs
herbison
 
Chapter 19
Chapter 19Chapter 19
Chapter 19
herbison
 
Plumbing night 2 types of plumbing businesses
Plumbing night 2   types of plumbing businessesPlumbing night 2   types of plumbing businesses
Plumbing night 2 types of plumbing businesses
herbison
 
Plumbing night 1 legal forms of business
Plumbing night 1   legal forms of businessPlumbing night 1   legal forms of business
Plumbing night 1 legal forms of business
herbison
 
Cyberbullying class 97
Cyberbullying class 97Cyberbullying class 97
Cyberbullying class 97
herbison
 
Wiki assignment
Wiki assignmentWiki assignment
Wiki assignment
herbison
 
Wiki assignment
Wiki assignmentWiki assignment
Wiki assignment
herbison
 
Security privacy health environmental
Security privacy health environmentalSecurity privacy health environmental
Security privacy health environmental
herbison
 
Security privacy health environmental
Security privacy health environmentalSecurity privacy health environmental
Security privacy health environmental
herbison
 
Algebra 6 Point 10
Algebra 6 Point 10Algebra 6 Point 10
Algebra 6 Point 10
herbison
 
Algebra 6 Point 8
Algebra 6 Point 8Algebra 6 Point 8
Algebra 6 Point 8
herbison
 
Algebra 6 Point 7
Algebra 6 Point 7Algebra 6 Point 7
Algebra 6 Point 7
herbison
 
Algebra 6 Point 5
Algebra 6 Point 5Algebra 6 Point 5
Algebra 6 Point 5
herbison
 
Algebra 6 Point 3
Algebra 6 Point 3Algebra 6 Point 3
Algebra 6 Point 3
herbison
 
Algebra 6 Point 4
Algebra 6 Point 4Algebra 6 Point 4
Algebra 6 Point 4
herbison
 
Algebra 6 Point 6
Algebra 6 Point 6Algebra 6 Point 6
Algebra 6 Point 6
herbison
 
Algebra 6 Point 2
Algebra 6 Point 2Algebra 6 Point 2
Algebra 6 Point 2
herbison
 

Mais de herbison (20)

Investments handout
Investments handoutInvestments handout
Investments handout
 
Chapter 2 notes new book
Chapter 2 notes new bookChapter 2 notes new book
Chapter 2 notes new book
 
Week 2 applying for jobs
Week 2 applying for jobsWeek 2 applying for jobs
Week 2 applying for jobs
 
Chapter 19
Chapter 19Chapter 19
Chapter 19
 
Plumbing night 2 types of plumbing businesses
Plumbing night 2   types of plumbing businessesPlumbing night 2   types of plumbing businesses
Plumbing night 2 types of plumbing businesses
 
Plumbing night 1 legal forms of business
Plumbing night 1   legal forms of businessPlumbing night 1   legal forms of business
Plumbing night 1 legal forms of business
 
Cyberbullying class 97
Cyberbullying class 97Cyberbullying class 97
Cyberbullying class 97
 
Cartoon
CartoonCartoon
Cartoon
 
Wiki assignment
Wiki assignmentWiki assignment
Wiki assignment
 
Wiki assignment
Wiki assignmentWiki assignment
Wiki assignment
 
Security privacy health environmental
Security privacy health environmentalSecurity privacy health environmental
Security privacy health environmental
 
Security privacy health environmental
Security privacy health environmentalSecurity privacy health environmental
Security privacy health environmental
 
Algebra 6 Point 10
Algebra 6 Point 10Algebra 6 Point 10
Algebra 6 Point 10
 
Algebra 6 Point 8
Algebra 6 Point 8Algebra 6 Point 8
Algebra 6 Point 8
 
Algebra 6 Point 7
Algebra 6 Point 7Algebra 6 Point 7
Algebra 6 Point 7
 
Algebra 6 Point 5
Algebra 6 Point 5Algebra 6 Point 5
Algebra 6 Point 5
 
Algebra 6 Point 3
Algebra 6 Point 3Algebra 6 Point 3
Algebra 6 Point 3
 
Algebra 6 Point 4
Algebra 6 Point 4Algebra 6 Point 4
Algebra 6 Point 4
 
Algebra 6 Point 6
Algebra 6 Point 6Algebra 6 Point 6
Algebra 6 Point 6
 
Algebra 6 Point 2
Algebra 6 Point 2Algebra 6 Point 2
Algebra 6 Point 2
 

Último

Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Safe Software
 
Why Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire businessWhy Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire business
panagenda
 

Último (20)

Bajaj Allianz Life Insurance Company - Insurer Innovation Award 2024
Bajaj Allianz Life Insurance Company - Insurer Innovation Award 2024Bajaj Allianz Life Insurance Company - Insurer Innovation Award 2024
Bajaj Allianz Life Insurance Company - Insurer Innovation Award 2024
 
🐬 The future of MySQL is Postgres 🐘
🐬  The future of MySQL is Postgres   🐘🐬  The future of MySQL is Postgres   🐘
🐬 The future of MySQL is Postgres 🐘
 
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data DiscoveryTrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
 
Workshop - Best of Both Worlds_ Combine KG and Vector search for enhanced R...
Workshop - Best of Both Worlds_ Combine  KG and Vector search for  enhanced R...Workshop - Best of Both Worlds_ Combine  KG and Vector search for  enhanced R...
Workshop - Best of Both Worlds_ Combine KG and Vector search for enhanced R...
 
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemkeProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
 
MINDCTI Revenue Release Quarter One 2024
MINDCTI Revenue Release Quarter One 2024MINDCTI Revenue Release Quarter One 2024
MINDCTI Revenue Release Quarter One 2024
 
A Year of the Servo Reboot: Where Are We Now?
A Year of the Servo Reboot: Where Are We Now?A Year of the Servo Reboot: Where Are We Now?
A Year of the Servo Reboot: Where Are We Now?
 
Top 5 Benefits OF Using Muvi Live Paywall For Live Streams
Top 5 Benefits OF Using Muvi Live Paywall For Live StreamsTop 5 Benefits OF Using Muvi Live Paywall For Live Streams
Top 5 Benefits OF Using Muvi Live Paywall For Live Streams
 
Manulife - Insurer Innovation Award 2024
Manulife - Insurer Innovation Award 2024Manulife - Insurer Innovation Award 2024
Manulife - Insurer Innovation Award 2024
 
Data Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt RobisonData Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt Robison
 
Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...
 
Boost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdfBoost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdf
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
 
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
 
Top 10 Most Downloaded Games on Play Store in 2024
Top 10 Most Downloaded Games on Play Store in 2024Top 10 Most Downloaded Games on Play Store in 2024
Top 10 Most Downloaded Games on Play Store in 2024
 
Scaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organizationScaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organization
 
TrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
TrustArc Webinar - Stay Ahead of US State Data Privacy Law DevelopmentsTrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
TrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
 
Apidays Singapore 2024 - Building Digital Trust in a Digital Economy by Veron...
Apidays Singapore 2024 - Building Digital Trust in a Digital Economy by Veron...Apidays Singapore 2024 - Building Digital Trust in a Digital Economy by Veron...
Apidays Singapore 2024 - Building Digital Trust in a Digital Economy by Veron...
 
Why Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire businessWhy Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire business
 
Strategies for Landing an Oracle DBA Job as a Fresher
Strategies for Landing an Oracle DBA Job as a FresherStrategies for Landing an Oracle DBA Job as a Fresher
Strategies for Landing an Oracle DBA Job as a Fresher
 

Algebra 7 Point 2

  • 1.
  • 2. What is the area of this rectangle? x y 5
  • 3. What is the area of this rectangle? 5x + 5y OR 5(x + y) x y 5
  • 4. Factoring The distributive property can be used to multiply a polynomial by a monomial: 2(x2 – 3x – 5) = 2x2 – 6x - 10 The distributive property can also be used to factor polynomials: 3x2 – 9x + 6 = 3(x2 – 3x + 2)
  • 5. Factor out the GCF from 5y2 + 10y + 20 Find the GCF: 5y2 – 5*y2 10y = 5*2y 20 = 5*4 Write each term as a product of 5 and a monomial: 5(y2) + 5(2y) +5*(4) Use the distributive property: 5(y2 + 2y +4)
  • 6. Factor out the GCF from t5 + 8t4 + t3
  • 7. Factor out the GCF from 2b4 – 10b3 + 8b2
  • 8. Factor out the GCF from 24a2b5 – 8a7b6 + 12a4b3
  • 9. Find the area of the shaded region: Write the result in factored form. Area of square: Area of circle: r
  • 10. Do p. 250 1-20
  • 11.
  • 12. FOIL With Negatives (x - 3)(x - 5) First terms: x and x x2 Outside terms: x and 5 -5x Inside terms: 3 and x -3x Last terms: 3 and 5 15 Answer: x2 + -8x + 15