Identifying & Factoring: Bx C
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017Identifying& Factoring:x2 bx cApr 13 11:04 AM1
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day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017A polynomial that can be simplified to the formax bx c, where a 0, is called a quadratic polynomial.LinCoQueaadr t nstaraerticm. nt teterrmm.Identifying Polynomials3
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017A quadratic polynomial in which b 0 and c 0 is called aquadratic trinomial. If only b 0 or c 0 it is called a quadraticbinomial. If both b 0 and c 0 it is a quadratic monomial.Examples: Choose all of the description that lMonomialIdentifying Polynomials4
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 20171Choose all of the descriptions that apply nomialPullAIdentifying Polynomials5
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 20172Choose all of the descriptions that apply nomialPullAIdentidying Polynomials6
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 20173Choose all of the descriptions that apply nomialPullAIdentifying Polynomials7
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 20174Choose all of the descriptions that apply nomialPullAIdentifying Polynomials8
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017**Complete the following. Turn in your answers.AnswerBankSimplify.1) (x 2)(x 3) 2) (x 4)(x 1) 3) (x 1)(x 5) x2 5x 6x2 4x 5x2 5x 4x2 4x 124) (x 6)(x 2) Slide each polynomial from thecircle to the correct expression.RECALL What did we do? Look for a pattern!!Factoring Trinomials a 19
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017May 9 8:54 AM10
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017May 9 8:54 AM11
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day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017May 9 8:55 AM13
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017To Factor a Trinomial with a Lead Coefficient of 1Recognize the pattern:Factors of 6 havethe same signs.Factors of 6Sum to 5?1, 672, 35Factors of 6 add to 5. Both factorsmust be positive.Factoring Trinomials a 114
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017To Factor a Trinomial with a Lead Coefficient of 1Recognize the pattern:Factors of 6 havethe same signs.Factors of 6Sum to 7? 1, 6 7 2, 3 5Factors of 6 add to 7. Both factorsmust be negative.Factoring Trinomials a 115
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017Examples:(x 8)(x 1)Factoring Trinomials a 116
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 20175The factors of 12 will have what kind of signs given thefollowing equation?Both positiveBBoth NegativeCBigger factor positive, the other negativeDThe bigger factor negative, the other positivePullAFactoring Trinomials a 117
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 20176The factors of 12 will have what kind of signs given thefollowing equation?Both positiveBBoth negativeCBigger factor positive, the other negativeDThe bigger factor negative, the other positivePullAFactoring Trinomials a 118
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 20177Factor(x 12)(x 1)B(x 6)(x 2)C(x 4)(x 3)D(x 12)(x 1)E(x 6)(x 1)F(x 4)(x 3)PullAFactoring Trinomials a 119
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 20178Factor(x 12)(x 1)B(x 6)(x 2)C(x 4)(x 3)D(x 12)(x 1)E(x 6)(x 1)PullFA(x 4)(x 3)Factoring Trinomials a 120
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 20179Factor(x 12)(x 1)B(x 6)(x 2)C(x 4)(x 3)D(x 12)(x 1)E(x 6)(x 1)F(x 4)(x 3)PullAFactoring Trinomials a 121
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 201710Factor(x 12)(x 1)B(x 6)(x 2)C(x 4)(x 3)D(x 12)(x 1)E(x 6)(x 2)F(x 4)(x 3)PullAFactoring Trinomials a 122
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017To Factor a Trinomial with a Lead Coefficient of 1Recognize the pattern:Factors of 6 have theopposite signs.Factors of 6Sum to 5?1, 6 52, 3 1Factors of 6 add to 5. Larger factormust be negative.Factoring Trinomials a 123
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017To Factor a Trinomial with a Lead Coefficient of 1Recognize the pattern:Factors of 6 havethe opposite signs.Factors of 6Sum to 1? 1, 65 2, 31Factors of 6 add to 1. Larger factormust be positive.Factoring Trinomials a 124
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017ExamplesFactoring Trinomials a 125
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 201711The factors of 12 will have what kind of signs given thefollowing equation?Both positiveBBoth negativeCBigger factor positive, the other negativeDThe bigger factor negative, the other positivePullAFactoring Trinomials a 126
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 201712The factors of 12 will have what kind of signs given thefollowing equation?Both positiveBBoth negativeCBigger factor positive, the other negativeDThe bigger factor negative, the other positivePullAFactoring Trinomials a 127
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 201713Factor(x 12)(x 1)B(x 6)(x 2)C(x 4)(x 3)D(x 12)(x 1)E(x 6)(x 1)F(x 4)(x 3)PullAFactoring Trinomials a 128
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 201714Factor(x 12)(x 1)B(x 6)(x 2)C(x 4)(x 3)D(x 12)(x 1)E(x 6)(x 1)Funable tofactor usingthis methodPullAFactoring Trinomials a 129
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 201715Factor(x 12)(x 1)B(x 6)(x 2)C(x 4)(x 3)D(x 12)(x 1)E(x 6)(x 1)F(x 4)(x 3)PullAFactoring Trinomials a 130
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017Mixed PracticeMixed Practice31
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 201716Factor the following(x 2)(x 4)B(x 2)(x 4)C(x 2)(x 4)D(x 2)(x 4)PullAFactoring Trinomials a 132
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 201717Factor the following(x 3)(x 5)B(x 3)(x 5)C(x 3)(x 5)D(x 3)(x 5)PullAFactoring Trinomials a 133
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 201718Factor the followingA(x 3)(x 4)B(x 3)(x 4)C(x 2)(x 6)D(x 1)(x 12)Factoring Trinomials a 134
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 201719Factor the following(x 2)(x 5)B(x 2)(x 5)C(x 2)(x 5)D(x 2)(x 5)PullAFactoring Trinomials a 135
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017Steps for Factoring a Trinomial1) See if a monomial can be factored out.2) Need 2 numbers that multiply to the constant3) and add to the middle number.4) Write out the factors.There is nocommonSTEPmonomial,sofactor: 1STEP2STEP3STEP4Factoring Trinomials a 136
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017Factoring TrinomialsAssignment:TheApr 13 11:06 AM37
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017Answer:The cat who joined the red crossbecause it wanted to be a first aid kit.May 2 8:27 AM38
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day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017Apr 13 11:05 AM40
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017Lab:1. Complete the 10 questiondistributive property quiz. Workindependently. Hand in when done.2. Work on math essay3. ProdigyApr 13 11:06 AM41
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017Apr 13 11:06 AM42
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017May 11 8:14 AM43
day 154 may 16 factor trinomials and writing expressions homework.notebook May 16, 2017May 2 8:27 AM44
& Factoring: x2 bx c. day 154 may 16 factor trinomials and writing expressions homework.notebook 2 May 16, 2017 May 16 8:52 AM. day 154 may 16 factor trinomials and writing expressions homework.notebook 3 May 16, 2017 Identifying Polynomials A polynomial that can be simplified to the form ax bx c , where a 0, is called a quadratic .
Factoring . Factoring. Factoring is the reverse process of multiplication. Factoring polynomials in algebra has similar role as factoring numbers in arithmetic. Any number can be expressed as a product of prime numbers. For example, 2 3. 6 Similarly, any
241 Algebraic equations can be used to solve a large variety of problems involving geometric relationships. 5.1 Factoring by Using the Distributive Property 5.2 Factoring the Difference of Two Squares 5.3 Factoring Trinomials of the Form x2 bx c 5.4 Factoring Trinomials of the Form ax2 bx c 5.5 Factoring, Solving Equations, and Problem Solving
Factoring Polynomials Martin-Gay, Developmental Mathematics 2 13.1 – The Greatest Common Factor 13.2 – Factoring Trinomials of the Form x2 bx c 13.3 – Factoring Trinomials of the Form ax 2 bx c 13.4 – Factoring Trinomials of the Form x2 bx c by Grouping 13.5 – Factoring Perfect Square Trinomials and Difference of Two Squares
Factoring . Factoring. Factoring is the reverse process of multiplication. Factoring polynomials in algebra has similar role as factoring numbers in arithmetic. Any number can be expressed as a product of prime numbers. For example, 2 3. 6 Similarly, any
Grouping & Case II Factoring Factoring by Grouping: A new type of factoring is factoring by grouping. This type of factoring requires us to see structure in expressions. We usually factor by grouping when we have a polynomial that has four or more terms. Example Steps x3 2x2 3x 6 1. _ terms together that have
Factoring Trinomials Guided Notes . 2 Algebra 1 – Notes Packet Name: Pd: Factoring Trinomials Clear Targets: I can factor trinomials with and without a leading coefficient. Concept: When factoring polynomials, we are doing reverse multiplication or “un-distributing.” Remember: Factoring is the process of finding the factors that would .
Move to the next page to learn more about factoring and how it relates to polynomials. [page 2] Factoring Trinomials by Grouping There is a systematic approach to factoring trinomials with a leading coefficient greater than 1 called . If you need a refresher on factoring by grouping
Factoring Polynomials Factoring Quadratic Expressions Factoring Polynomials 1 Factoring Trinomials With a Common Factor Factoring Difference of Squares . Alignment of Accuplacer Math Topics and Developmental Math Topics with Khan Academy, the Common Core and Applied Tasks from The New England Board of Higher Education, April 2013