x - White Plains Public Schools

SWBAT: Factor Polynomials using GCF
Lesson 10-7
Do Now:
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SWBAT: Factor Polynomials using GCF
Lesson 10-7
Simplify each expression ​
1) Simply each expressions
2) Factor each expression
a) 4(x + 3)
a)
4​ x ​ 12​
b) x3(x - 7)
b)
x​ 4​  7​ x​3​
c)
4​ x​ 2​  28​ x​
d)
4​x​5​ y​  6​x​3​ y​ ​ 8​x​2​ y​
c) 4x(x - 7)
d)
2​x2​ y​(​2​x​3​ ​ 3​x​ ​ 4​)​
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SWBAT: Factor Polynomials using GCF
Lesson 10-7
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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CLASSWORK
1)
4)
7)
3​ x 2​ ​ 6​
32​ x​  x​ 2​
4​ x​  8​ x​ 2​
2)
5)
8)
16​ x 2​ ​ 80​
2​ x​2​  5​ x​
 9​ x​3​ ​ 3​x​2​
3)
6)
9)
4​ x 2​ ​ 16​ x​ ​ 32​
x​ 4​ ​ 5x​3​ ​ x​
21​x​ 3​  7​ x​ 2​ ​ 7​ x​
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SWBAT: Factor Polynomials using GCF
Lesson 10-7
11)
10)
12)
15)
17)
3​x​ 4​  3​ x​ 2​
10​ x​  15​ x​3​
13)
2s​ ​ sr​
 2​ x​ ​ 4​ x​ 3​
9​ab​ ​  6​ab​ ​ 3​a​
rs​ 2​  2​r​
16)
18)
2
19)
c​ 3​  c​ 2​ ​ 2​c​
20)
14)
hb​  hc​
3​ab​ 2​  6​a​ 2​b​
2​ma​  4​mb​ ​ 2​mc​
6​x​3​ y​  12​x​2​ y​ 2​ ​ 3​xy​
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