SlideShare une entreprise Scribd logo
1  sur  12
Dividing the same variable when you divide two terms with a common variable. You subtract the exponent of the division. Ex)  x ³ x² = x³-² = x Ex) (2x³ + 4x² + 6x) 2x =  2x³ + 4x² + 6x 2x  2x  2x = 2x² + 2x + 3 Anything to the power of zero is always one
Simplification and Reduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Long Division ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Divisor
Dividing polynomial with  “missing terms” ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Expression for polynomial “A” ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Problem solving ,[object Object],[object Object],[object Object],A1=  3x ² - 4x - 7 A2= 4x ² - 3x - 7 x + 1 x + 1 Find DE Find AB
The diagram above ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The same diagram ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The same diagram ,[object Object],[object Object],[object Object],[object Object]
Solving for a triangle by using Long Division ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
the same triangle ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Solving a Rectangle by using long division ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Contenu connexe

Tendances

Pt 2 turunan fungsi eksponen, logaritma, implisit dan cyclometri-d4
Pt 2 turunan fungsi eksponen, logaritma, implisit dan cyclometri-d4Pt 2 turunan fungsi eksponen, logaritma, implisit dan cyclometri-d4
Pt 2 turunan fungsi eksponen, logaritma, implisit dan cyclometri-d4lecturer
 
Pair of linear equations part 2
Pair of linear equations part 2Pair of linear equations part 2
Pair of linear equations part 2AadhiSXA
 
Higher order derivatives for N -body simulations
Higher order derivatives for N -body simulationsHigher order derivatives for N -body simulations
Higher order derivatives for N -body simulationsKeigo Nitadori
 
Quadratic equations class 10
Quadratic equations class 10Quadratic equations class 10
Quadratic equations class 10AadhiSXA
 
Additional Mathematics form 4 (formula)
Additional Mathematics form 4 (formula)Additional Mathematics form 4 (formula)
Additional Mathematics form 4 (formula)Fatini Adnan
 
Polynomial operations (1)
Polynomial operations (1)Polynomial operations (1)
Polynomial operations (1)swartzje
 
Finding the area under a curve using integration
Finding the area under a curve using integrationFinding the area under a curve using integration
Finding the area under a curve using integrationChristopher Chibangu
 
The dev project
The dev projectThe dev project
The dev projectMatt Beck
 
35182797 additional-mathematics-form-4-and-5-notes
35182797 additional-mathematics-form-4-and-5-notes35182797 additional-mathematics-form-4-and-5-notes
35182797 additional-mathematics-form-4-and-5-notesWendy Pindah
 
Basic algebra and graphing
Basic algebra and graphing Basic algebra and graphing
Basic algebra and graphing Bob Marcus
 
Notes 12.1 identifying, adding & subtracting polynomials
Notes 12.1   identifying, adding & subtracting polynomialsNotes 12.1   identifying, adding & subtracting polynomials
Notes 12.1 identifying, adding & subtracting polynomialsLori Rapp
 
Bahan ajar kalkulus integral
Bahan ajar kalkulus integralBahan ajar kalkulus integral
Bahan ajar kalkulus integralgrand_livina_good
 
Solving Linear Equations
Solving Linear EquationsSolving Linear Equations
Solving Linear Equationstaco40
 
add maths module 5
add maths module 5add maths module 5
add maths module 5Sasi Villa
 

Tendances (19)

Pt 2 turunan fungsi eksponen, logaritma, implisit dan cyclometri-d4
Pt 2 turunan fungsi eksponen, logaritma, implisit dan cyclometri-d4Pt 2 turunan fungsi eksponen, logaritma, implisit dan cyclometri-d4
Pt 2 turunan fungsi eksponen, logaritma, implisit dan cyclometri-d4
 
Pair of linear equations part 2
Pair of linear equations part 2Pair of linear equations part 2
Pair of linear equations part 2
 
Higher order derivatives for N -body simulations
Higher order derivatives for N -body simulationsHigher order derivatives for N -body simulations
Higher order derivatives for N -body simulations
 
Quadratic equations class 10
Quadratic equations class 10Quadratic equations class 10
Quadratic equations class 10
 
Additional Mathematics form 4 (formula)
Additional Mathematics form 4 (formula)Additional Mathematics form 4 (formula)
Additional Mathematics form 4 (formula)
 
Polynomial operations (1)
Polynomial operations (1)Polynomial operations (1)
Polynomial operations (1)
 
Algebra
AlgebraAlgebra
Algebra
 
11.4
11.411.4
11.4
 
Parabola
ParabolaParabola
Parabola
 
Finding the area under a curve using integration
Finding the area under a curve using integrationFinding the area under a curve using integration
Finding the area under a curve using integration
 
The dev project
The dev projectThe dev project
The dev project
 
35182797 additional-mathematics-form-4-and-5-notes
35182797 additional-mathematics-form-4-and-5-notes35182797 additional-mathematics-form-4-and-5-notes
35182797 additional-mathematics-form-4-and-5-notes
 
Areas under curve
Areas under curveAreas under curve
Areas under curve
 
Basic algebra and graphing
Basic algebra and graphing Basic algebra and graphing
Basic algebra and graphing
 
Notes 12.1 identifying, adding & subtracting polynomials
Notes 12.1   identifying, adding & subtracting polynomialsNotes 12.1   identifying, adding & subtracting polynomials
Notes 12.1 identifying, adding & subtracting polynomials
 
Bahan ajar kalkulus integral
Bahan ajar kalkulus integralBahan ajar kalkulus integral
Bahan ajar kalkulus integral
 
10.7
10.710.7
10.7
 
Solving Linear Equations
Solving Linear EquationsSolving Linear Equations
Solving Linear Equations
 
add maths module 5
add maths module 5add maths module 5
add maths module 5
 

Similaire à Polynomial Division: Explaining the Process and Solving Problems Using Long Division Techniques

Partial Fraction ppt presentation of engg math
Partial Fraction ppt presentation of engg mathPartial Fraction ppt presentation of engg math
Partial Fraction ppt presentation of engg mathjaidevpaulmca
 
Factoring polynomials
Factoring polynomialsFactoring polynomials
Factoring polynomialsArvy Crescini
 
3.1 methods of division t
3.1 methods of division t3.1 methods of division t
3.1 methods of division tmath260
 
Quadratic Function Presentation
Quadratic Function PresentationQuadratic Function Presentation
Quadratic Function PresentationRyanWatt
 
17 integrals of rational functions x
17 integrals of rational functions x17 integrals of rational functions x
17 integrals of rational functions xmath266
 
Polynomials Grade 10
Polynomials Grade 10Polynomials Grade 10
Polynomials Grade 10ingroy
 
Quadratic Inequalities.pptx
Quadratic Inequalities.pptxQuadratic Inequalities.pptx
Quadratic Inequalities.pptxaimeedurano
 
Solution 3
Solution 3Solution 3
Solution 3aldrins
 
Quadraticfunctionpresentation 100127142417-phpapp02
Quadraticfunctionpresentation 100127142417-phpapp02Quadraticfunctionpresentation 100127142417-phpapp02
Quadraticfunctionpresentation 100127142417-phpapp02Vine Gonzales
 
Solution 3
Solution 3Solution 3
Solution 3aldrins
 
Algebra Revision.ppt
Algebra Revision.pptAlgebra Revision.ppt
Algebra Revision.pptAaronChi5
 
March 6, 2014
March 6, 2014March 6, 2014
March 6, 2014khyps13
 
Extra Help 19- differential equations.pptx
Extra Help 19- differential equations.pptxExtra Help 19- differential equations.pptx
Extra Help 19- differential equations.pptxmahamoh6
 
Straight-Line-Graphs-Final -2.pptx
Straight-Line-Graphs-Final -2.pptxStraight-Line-Graphs-Final -2.pptx
Straight-Line-Graphs-Final -2.pptxKviskvis
 
7.1 area between curves
7.1 area between curves7.1 area between curves
7.1 area between curvesdicosmo178
 
7.1 area between curves
7.1 area between curves7.1 area between curves
7.1 area between curvesdicosmo178
 

Similaire à Polynomial Division: Explaining the Process and Solving Problems Using Long Division Techniques (20)

Polynomial math
Polynomial mathPolynomial math
Polynomial math
 
Partial Fraction ppt presentation of engg math
Partial Fraction ppt presentation of engg mathPartial Fraction ppt presentation of engg math
Partial Fraction ppt presentation of engg math
 
Factoring polynomials
Factoring polynomialsFactoring polynomials
Factoring polynomials
 
3.1 methods of division t
3.1 methods of division t3.1 methods of division t
3.1 methods of division t
 
Quadratic Function Presentation
Quadratic Function PresentationQuadratic Function Presentation
Quadratic Function Presentation
 
17 integrals of rational functions x
17 integrals of rational functions x17 integrals of rational functions x
17 integrals of rational functions x
 
Polynomials Grade 10
Polynomials Grade 10Polynomials Grade 10
Polynomials Grade 10
 
Quadratic Inequalities.pptx
Quadratic Inequalities.pptxQuadratic Inequalities.pptx
Quadratic Inequalities.pptx
 
Solution 3
Solution 3Solution 3
Solution 3
 
Function
FunctionFunction
Function
 
Quadraticfunctionpresentation 100127142417-phpapp02
Quadraticfunctionpresentation 100127142417-phpapp02Quadraticfunctionpresentation 100127142417-phpapp02
Quadraticfunctionpresentation 100127142417-phpapp02
 
Solution 3
Solution 3Solution 3
Solution 3
 
Algebra Revision.ppt
Algebra Revision.pptAlgebra Revision.ppt
Algebra Revision.ppt
 
March 6, 2014
March 6, 2014March 6, 2014
March 6, 2014
 
Extra Help 19- differential equations.pptx
Extra Help 19- differential equations.pptxExtra Help 19- differential equations.pptx
Extra Help 19- differential equations.pptx
 
Straight-Line-Graphs-Final -2.pptx
Straight-Line-Graphs-Final -2.pptxStraight-Line-Graphs-Final -2.pptx
Straight-Line-Graphs-Final -2.pptx
 
Quadraticequation
QuadraticequationQuadraticequation
Quadraticequation
 
7.1 area between curves
7.1 area between curves7.1 area between curves
7.1 area between curves
 
7.1 area between curves
7.1 area between curves7.1 area between curves
7.1 area between curves
 
Quadratic equations
Quadratic equationsQuadratic equations
Quadratic equations
 

Dernier

Beauty Amidst the Bytes_ Unearthing Unexpected Advantages of the Digital Wast...
Beauty Amidst the Bytes_ Unearthing Unexpected Advantages of the Digital Wast...Beauty Amidst the Bytes_ Unearthing Unexpected Advantages of the Digital Wast...
Beauty Amidst the Bytes_ Unearthing Unexpected Advantages of the Digital Wast...DhatriParmar
 
4.9.24 School Desegregation in Boston.pptx
4.9.24 School Desegregation in Boston.pptx4.9.24 School Desegregation in Boston.pptx
4.9.24 School Desegregation in Boston.pptxmary850239
 
How to Manage Buy 3 Get 1 Free in Odoo 17
How to Manage Buy 3 Get 1 Free in Odoo 17How to Manage Buy 3 Get 1 Free in Odoo 17
How to Manage Buy 3 Get 1 Free in Odoo 17Celine George
 
4.11.24 Mass Incarceration and the New Jim Crow.pptx
4.11.24 Mass Incarceration and the New Jim Crow.pptx4.11.24 Mass Incarceration and the New Jim Crow.pptx
4.11.24 Mass Incarceration and the New Jim Crow.pptxmary850239
 
Reading and Writing Skills 11 quarter 4 melc 1
Reading and Writing Skills 11 quarter 4 melc 1Reading and Writing Skills 11 quarter 4 melc 1
Reading and Writing Skills 11 quarter 4 melc 1GloryAnnCastre1
 
How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17Celine George
 
Scientific Writing :Research Discourse
Scientific  Writing :Research  DiscourseScientific  Writing :Research  Discourse
Scientific Writing :Research DiscourseAnita GoswamiGiri
 
Active Learning Strategies (in short ALS).pdf
Active Learning Strategies (in short ALS).pdfActive Learning Strategies (in short ALS).pdf
Active Learning Strategies (in short ALS).pdfPatidar M
 
Oppenheimer Film Discussion for Philosophy and Film
Oppenheimer Film Discussion for Philosophy and FilmOppenheimer Film Discussion for Philosophy and Film
Oppenheimer Film Discussion for Philosophy and FilmStan Meyer
 
ARTERIAL BLOOD GAS ANALYSIS........pptx
ARTERIAL BLOOD  GAS ANALYSIS........pptxARTERIAL BLOOD  GAS ANALYSIS........pptx
ARTERIAL BLOOD GAS ANALYSIS........pptxAneriPatwari
 
Tree View Decoration Attribute in the Odoo 17
Tree View Decoration Attribute in the Odoo 17Tree View Decoration Attribute in the Odoo 17
Tree View Decoration Attribute in the Odoo 17Celine George
 
Mythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITWMythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITWQuiz Club NITW
 
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...Team Lead Succeed – Helping you and your team achieve high-performance teamwo...
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...Association for Project Management
 
Concurrency Control in Database Management system
Concurrency Control in Database Management systemConcurrency Control in Database Management system
Concurrency Control in Database Management systemChristalin Nelson
 
Q-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITWQ-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITWQuiz Club NITW
 
BIOCHEMISTRY-CARBOHYDRATE METABOLISM CHAPTER 2.pptx
BIOCHEMISTRY-CARBOHYDRATE METABOLISM CHAPTER 2.pptxBIOCHEMISTRY-CARBOHYDRATE METABOLISM CHAPTER 2.pptx
BIOCHEMISTRY-CARBOHYDRATE METABOLISM CHAPTER 2.pptxSayali Powar
 
4.16.24 Poverty and Precarity--Desmond.pptx
4.16.24 Poverty and Precarity--Desmond.pptx4.16.24 Poverty and Precarity--Desmond.pptx
4.16.24 Poverty and Precarity--Desmond.pptxmary850239
 

Dernier (20)

Beauty Amidst the Bytes_ Unearthing Unexpected Advantages of the Digital Wast...
Beauty Amidst the Bytes_ Unearthing Unexpected Advantages of the Digital Wast...Beauty Amidst the Bytes_ Unearthing Unexpected Advantages of the Digital Wast...
Beauty Amidst the Bytes_ Unearthing Unexpected Advantages of the Digital Wast...
 
4.9.24 School Desegregation in Boston.pptx
4.9.24 School Desegregation in Boston.pptx4.9.24 School Desegregation in Boston.pptx
4.9.24 School Desegregation in Boston.pptx
 
How to Manage Buy 3 Get 1 Free in Odoo 17
How to Manage Buy 3 Get 1 Free in Odoo 17How to Manage Buy 3 Get 1 Free in Odoo 17
How to Manage Buy 3 Get 1 Free in Odoo 17
 
4.11.24 Mass Incarceration and the New Jim Crow.pptx
4.11.24 Mass Incarceration and the New Jim Crow.pptx4.11.24 Mass Incarceration and the New Jim Crow.pptx
4.11.24 Mass Incarceration and the New Jim Crow.pptx
 
Reading and Writing Skills 11 quarter 4 melc 1
Reading and Writing Skills 11 quarter 4 melc 1Reading and Writing Skills 11 quarter 4 melc 1
Reading and Writing Skills 11 quarter 4 melc 1
 
Faculty Profile prashantha K EEE dept Sri Sairam college of Engineering
Faculty Profile prashantha K EEE dept Sri Sairam college of EngineeringFaculty Profile prashantha K EEE dept Sri Sairam college of Engineering
Faculty Profile prashantha K EEE dept Sri Sairam college of Engineering
 
How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17
 
INCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptx
INCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptxINCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptx
INCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptx
 
Scientific Writing :Research Discourse
Scientific  Writing :Research  DiscourseScientific  Writing :Research  Discourse
Scientific Writing :Research Discourse
 
Active Learning Strategies (in short ALS).pdf
Active Learning Strategies (in short ALS).pdfActive Learning Strategies (in short ALS).pdf
Active Learning Strategies (in short ALS).pdf
 
Oppenheimer Film Discussion for Philosophy and Film
Oppenheimer Film Discussion for Philosophy and FilmOppenheimer Film Discussion for Philosophy and Film
Oppenheimer Film Discussion for Philosophy and Film
 
prashanth updated resume 2024 for Teaching Profession
prashanth updated resume 2024 for Teaching Professionprashanth updated resume 2024 for Teaching Profession
prashanth updated resume 2024 for Teaching Profession
 
ARTERIAL BLOOD GAS ANALYSIS........pptx
ARTERIAL BLOOD  GAS ANALYSIS........pptxARTERIAL BLOOD  GAS ANALYSIS........pptx
ARTERIAL BLOOD GAS ANALYSIS........pptx
 
Tree View Decoration Attribute in the Odoo 17
Tree View Decoration Attribute in the Odoo 17Tree View Decoration Attribute in the Odoo 17
Tree View Decoration Attribute in the Odoo 17
 
Mythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITWMythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITW
 
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...Team Lead Succeed – Helping you and your team achieve high-performance teamwo...
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...
 
Concurrency Control in Database Management system
Concurrency Control in Database Management systemConcurrency Control in Database Management system
Concurrency Control in Database Management system
 
Q-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITWQ-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITW
 
BIOCHEMISTRY-CARBOHYDRATE METABOLISM CHAPTER 2.pptx
BIOCHEMISTRY-CARBOHYDRATE METABOLISM CHAPTER 2.pptxBIOCHEMISTRY-CARBOHYDRATE METABOLISM CHAPTER 2.pptx
BIOCHEMISTRY-CARBOHYDRATE METABOLISM CHAPTER 2.pptx
 
4.16.24 Poverty and Precarity--Desmond.pptx
4.16.24 Poverty and Precarity--Desmond.pptx4.16.24 Poverty and Precarity--Desmond.pptx
4.16.24 Poverty and Precarity--Desmond.pptx
 

Polynomial Division: Explaining the Process and Solving Problems Using Long Division Techniques

  • 1. Dividing the same variable when you divide two terms with a common variable. You subtract the exponent of the division. Ex) x ³ x² = x³-² = x Ex) (2x³ + 4x² + 6x) 2x = 2x³ + 4x² + 6x 2x 2x 2x = 2x² + 2x + 3 Anything to the power of zero is always one
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.