Download SWBAT: Factor Polynomials Lesson 10

SWBAT: Factor Polynomials
Lesson 10-6
Do Now:
1.
2.
Vocabulary:
Factor - one of two or more numbers, algebraic expressions, or the like, that when
multiplied together produce a given product; a divisor: 6 and 3 are factors of 18
Greatest Common Factor – (GCF) the largest number that is a common divisor of a given
set of numbers.
To factor a polynomial over a designated set of numbers means to express that polynomial
as a product of polynomials whose coefficients are members of the set.
Steps 1: To factor a polynomial whose terms have a common monomial factor:
1) Find the greatest monomial that is a factor of each term of the polynomial.
2) Divide the polynomial by the monomial factor. The quotient is the other factor.
3) Express the polynomial as the indicated product of the two factors.
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SWBAT: Factor Polynomials
Lesson 10-6
List the factors for the following numbers.
1)
5
2) 12
3) 48
4) 96
Write the expression in factored form.
5)
6)
2x + 2
8)
7)
5c + 10
9)
-12x – 36
8m + 16n + 32p
10)
63m – 49n
50r – 125s + 200
Quick C heck for Understanding
11)
12)
- 4x + 8y
13)
27m – 15n
12x + 6y + 18z
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SWBAT: Factor Polynomials
Lesson 10-6
Factoring with Variables
14)
32​ x​  x​ ​
15)
2
2​ x​ 2​  x​ 4​
Quick C heck for Understanding
17)
y2 – 3y
16)
18)
y​5 ​ y​ 2​ ​ y​
a3 – a2b
Factoring the Greatest Common Factor with Variables and Number
19)
20)
6​ x​2​  12​ x​3​
21)
12​ab​ ​ ​ 20​b​
3
7​ xy​2​  28​x​2​ y​
+ 14x 3
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SWBAT: Factor Polynomials
Lesson 10-6
Quick check for understanding/Practice:
Factor C ompletely
22)
23)
25)
26)
3​a 2​ ​ 9​
24)
27)
9​r​ 2​  36​r​ 4​
C hallenge:
28)
29)
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SWBAT: Factor Polynomials
Lesson 10-6
LESSON PRACTICE
#1, 2, 4, 6, 8, 10, 28, 30, 32
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SWBAT: Factor Polynomials
Lesson 10-6
Lesson Practice Answers
#1, 2, 4, 6, 8, 10, 28, 30, 32
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