Download Assigned 3/16/15

Name _______________________________________ Date __________________ Class __________________
Lesson 7-1
Factors and Greatest Common Factors
Complete the prime factorization of each number.
1.
2.
3.
3 2 × 22
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Find the GCF of each pair of numbers.
4.15 and 40
5. 8 and 32
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6.36 and 48
7. 50 and 75
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Find the GCF of each pair of monomials.
8.12y3 and 15y2
9. 3p4 and 4p
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6
2
10. 18x and 24y
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11. 14xy2 and 21y3
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Mrs. Graham is creating student envelopes for a math activity in her
class. She has 64 problems written on pieces of blue paper and 48
problems written on pieces of red paper. She needs to sort the pieces
of paper so that each envelope has the same number of pieces and
no envelope has both red and blue pieces.
12.If Mrs. Graham puts the greatest possible number of
papers in each envelope, how many papers will go in
each envelope?
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13.How many envelopes can Mrs. Graham create
if she puts the greatest possible number of
papers in each envelope?
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Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1
Name _______________________________________ Date __________________ Class __________________
Lesson 7-2
Factoring by GCF
Factor each polynomial. Check your answer.
1.x2  5x
2. 5m3  45
x(___ ___)
___)
4.10y2  12y3
3. 15y3  20y5  10
___ (___  9)
___ (3y3  4___
5. 12t 5  6t
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6. 6x4  15x3  3x2
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7.A golf ball is hit upward at a speed of 40 m/s. The
expression 5t2  40t gives the approximate height
of the ball after t seconds. Factor this expression.
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8.The area of the Hillen family’s television screen
is 3x2  24x in2. Factor this polynomial to find
expressions for the dimensions of their TV screen.
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Factor out the common binomial factor in each expression.
9.4d(d  2)  9(d  2)
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10. 12(x  5)  7x(x  5)
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Factor each polynomial by grouping.
11.n3  3n2  4n  12
12. 2x3  5x2  2x  5
(n3 ___)  (4n ___)
n2(n  ___)  4(n ___)
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Factor each polynomial by grouping and using opposites.
13. 2y3  4y2  6  3y
14. 4m3  12m2  15  5m
(___  4y2)  (___  3y)
2y2 (___  2)  3 (___  y)
2y2 (___  2)  3(1) (___  2)
2y2 (___  2) 3(y  ___)
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Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1