44
day 154 may 16 factor trinomials and writing expressions homework.notebook 1 May 16, 2017 Apr 1311:04 AM Identifying & Factoring: x 2 + bx + c
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
2
May 16, 2017
May 168:52 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 polynomial.
Quadratic term.
Linear term.
Constant term.
day 154 may 16 factor trinomials and writing expressions homework.notebook
4
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
day 154 may 16 factor trinomials and writing expressions homework.notebook
5
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
6
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
7
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
8
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
9
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
10
May 16, 2017
May 98:54 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
11
May 16, 2017
May 98:54 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
12
May 16, 2017
May 98:55 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
13
May 16, 2017
May 98:55 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
14
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
15
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
day 154 may 16 factor trinomials and writing expressions homework.notebook
16
May 16, 2017
Factoring Trinomials a=1
(x 8)(x 1)
Examples:
day 154 may 16 factor trinomials and writing expressions homework.notebook
17
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
19
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
20
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
21
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
25
May 16, 2017
Factoring Trinomials a=1
Examples
day 154 may 16 factor trinomials and writing expressions homework.notebook
26
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
28
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
29
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
30
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
31
May 16, 2017
Mixed Practice
Mixed Practice
day 154 may 16 factor trinomials and writing expressions homework.notebook
32
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
33
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
34
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
35
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
36
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
day 154 may 16 factor trinomials and writing expressions homework.notebook
37
May 16, 2017
Apr 1311:06 AM
Factoring TrinomialsAssignment:
The
day 154 may 16 factor trinomials and writing expressions homework.notebook
38
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
39
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
40
May 16, 2017
Apr 1311:05 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
41
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
42
May 16, 2017
Apr 1311:06 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
43
May 16, 2017
May 118:14 AM
day 154 may 16 factor trinomials and writing expressions homework.notebook
44
May 16, 2017
May 28:27 AM
