Factoring Worksheet With Examples Page 6
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50Factor each monomial completely.
HOMEWORK
2
2
3
4
2
11. 66 d
12. 85 x
13. -49 a
y
b
For
See
Exercises
Examples
2
3
14. 50gh
15. 160p q
16. -243 n
m
11–18
1
19–27
2, 3
17.
GEOMETRY
A rectangle has an area of 96 square millimeters and its length
and width are both whole numbers. What are the minimum and maximum
values for the perimeter of the rectangle? Explain your reasoning.
18.
MARCHING BANDS
The number of members in
Number of
High School
two high school marching bands is shown in
Band Members
the table. During the halftime show, the bands
Logan
75
plan to march into the stadium from opposite
Northeast
90
ends using formations with the same number
of rows. If the bands match up in the center of the field, what is the
maximum number of rows, and how many band members will be in
each row?
Find the GCF of each set of monomials.
19. 27, 72
20. 32, 48
21. 18, 35
2
2
2
2
2
22. 15a, 28 b
23. 24 d
24. 20gh, 36 g
, 30 c
d
h
2
2
2
3
2
2
2
3
2
2
3
25. 15 r
s, 35 s
, 70rs
26. 28 a
b
, 63 a
b
, 91 b
27. 14 m
n
, 18mn, 2 m
n
28.
NUMBER THEORY
Twin primes are two consecutive odd numbers that are
prime. The first pair of twin primes is 3 and 5. List the next five pairs of
twin primes.
29.
GEOMETRY
The area of a triangle is 20 square centimeters. What are
EXTRA
possible whole-number dimensions for the base and height of the triangle?
See pages 733, 751.
30.
RESEARCH
Use the Internet or another source to investigate Mersenne
Self-Check Quiz at
primes. Describe what they are, and then list three Mersenne primes.
H.O.T.
Problems
31.
REASONING
Determine whether the following statement is true or false.
If false, provide a counterexample. All prime numbers are odd.
32.
CHALLENGE
Suppose 6 is a factor of ab, where a and b are natural numbers.
Make a valid argument to explain why each assertion is true or provide a
counterexample to show that an assertion is false.
a. 6 must be a factor of a or of b.
b. 3 must be a factor of a or of b.
c. 3 must be a factor of a and of b.
2
33.
OPEN ENDED
Name two monomials whose GCF is 5 x
. Justify your choices.
Writing in Math
34.
Use the information about signals on page 420 to
explain how prime numbers are related to the search for extraterrestrial
life. Include a list of the first 30 prime numbers and an explanation of how
you found them.
423
Lesson 8-1 Monomials and Factoring
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