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day 154 may 16 factor trinomials and writing expressions homework.notebook
1
May 16, 2017
Apr 1311:04 AM
Identifying & Factoring:x2 + bx + c
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
May 168:52 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Identifying Polynomials
A polynomial that can be simplified to the form ax + bx + c , where a ≠ 0, is called a quadratic polynomial.
Quadratic term.
Linear term.
Constant term.
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Identifying Polynomials
A quadratic polynomial in which b ≠ 0 and c ≠ 0 is called aquadratic trinomial. If only b=0 or c=0 it is called a quadratic binomial. If both b=0 and c=0 it is a quadratic monomial.
Examples: Choose all of the description that apply.
Quadratic
Linear
Constant
Trinomial
Binomial
Monomial
Cubic
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May 16, 2017
Identifying Polynomials
1 Choose all of the descriptions that apply to:
A QuadraticB LinearC ConstantD TrinomialE BinomialF Monomial
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Identidying Polynomials
2 Choose all of the descriptions that apply to:
A QuadraticB LinearC ConstantD TrinomialE BinomialF Monomial
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Identifying Polynomials
3 Choose all of the descriptions that apply to:
A QuadraticB LinearC ConstantD TrinomialE BinomialF Monomial
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Identifying Polynomials
4 Choose all of the descriptions that apply to:
A QuadraticB LinearC ConstantD TrinomialE BinomialF Monomial
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
Simplify.
1) (x + 2)(x + 3) = _________________________
2) (x 4)(x 1) = _________________________
3) (x + 1)(x 5) = ________________________
4) (x + 6)(x 2) = ________________________
RECALL … What did we do?? Look for a pattern!!
x2 5x + 4x2 4x 5
x2 + 4x 12
Slide each polynomial from the circle to the correct expression.
x2 + 5x + 6
AnswerBank
**Complete the following. Turn in your answers.
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
May 98:54 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
May 98:54 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
May 98:55 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
May 98:55 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
To Factor a Trinomial with a Lead Coefficient of 1
Recognize the pattern:
Factors of 6 have the same signs.
Factors of 6 add to +5. Both factors must be positive.Factors of 6 Sum to 5?
1, 6 7
2, 3 5
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
To Factor a Trinomial with a Lead Coefficient of 1
Recognize the pattern:
Factors of 6 have the same signs.
Factors of 6 add to 7. Both factors must be negative.Factors of 6 Sum to 7?
1, 6 7
2, 3 5
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May 16, 2017
Factoring Trinomials a=1
(x 8)(x 1)
Examples:
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
5 The factors of 12 will have what kind of signs given the following equation?
A Both positive
B Both Negative
C Bigger factor positive, the other negative
D The bigger factor negative, the other positive
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
18
May 16, 2017
Factoring Trinomials a=1
6 The factors of 12 will have what kind of signs given the following equation?
A Both positive
B Both negative
C Bigger factor positive, the other negative
D The bigger factor negative, the other positive
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
7 Factor
A (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)
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
8 Factor
A (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)
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
9 Factor
A (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)
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
22
May 16, 2017
Factoring Trinomials a=1
10 Factor
A (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)
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
23
May 16, 2017
Factoring Trinomials a=1
To Factor a Trinomial with a Lead Coefficient of 1
Recognize the pattern:
Factors of 6 have the opposite signs.
Factors of 6 add to 5. Larger factor must be negative.
Factors of 6 Sum to 5?
1, 6 5
2, 3 1
day 154 may 16 factor trinomials and writing expressions homework.notebook
24
May 16, 2017
Factoring Trinomials a=1
To Factor a Trinomial with a Lead Coefficient of 1
Recognize the pattern:
Factors of 6 have the opposite signs.
Factors of 6 add to +1. Larger factor must be positive.
Factors of 6 Sum to 1?
1, 6 5
2, 3 1
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
Examples
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
11 The factors of 12 will have what kind of signs given the following equation?
A Both positive
B Both negative
C Bigger factor positive, the other negative
D The bigger factor negative, the other positive
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
27
May 16, 2017
Factoring Trinomials a=1
12 The factors of 12 will have what kind of signs given the following equation?
A Both positive
B Both negative
C Bigger factor positive, the other negative
D The bigger factor negative, the other positive
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
13 Factor
A (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)
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
14 Factor
A (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 unable to factor using this method
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
15 Factor
A (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)
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Mixed Practice
Mixed Practice
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
16 Factor the following
A (x 2)(x 4)
B (x + 2)(x + 4)
C (x 2)(x +4)
D (x + 2)(x 4)
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
17 Factor the following
A (x 3)(x 5)
B (x + 3)(x + 5)
C (x 3)(x +5)
D (x + 3)(x 5)
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
18 Factor the following
A (x 3)(x 4)
B (x + 3)(x + 4)
C (x +2)(x +6)
D (x + 1)(x+12)
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
19 Factor the following
A (x 2)(x 5)
B (x + 2)(x + 5)
C (x 2)(x +5)
D (x + 2)(x 5)
Pull
Pull
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Factoring Trinomials a=1
Steps 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 nocommonmonomial,sofactor:
STEP1
STEP2
STEP3
STEP4
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May 16, 2017
Apr 1311:06 AM
Factoring TrinomialsAssignment:
The
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May 16, 2017
May 28:27 AM
The cat who joined the red cross because it wanted to be a first aid kit.
Answer:
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
May 28:38 AM
Homework: Complete the 1-1 Reteaching worksheet.
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Apr 1311:05 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Apr 1311:06 AM
Lab:
1. Complete the 10 question distributive property quiz. Work independently. Hand in when done.
2. Work on math essay
3. Prodigy
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
Apr 1311:06 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 16, 2017
May 118:14 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
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May 28:27 AM
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