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(Answer) Math114N – Week 2 Assignment: The Greatest Common Factor and Factoring by Grouping

QUESTIONS

Question 1

Find the GCF of 28d3, 32d3, and 20d4

Question 2

Factor: 28p5q3 + 24p3

Question 3

Factor: −32m4n2 + 14mn3

Question 4

Find the GCF of 108d2 and 216d.

Question 5

Factor ab + 10b – a −10 by grouping.

Question 6

Factor ab − 2b – a + 2 by grouping.

Question 7

Find the GCF of 207c3 and 108c2

Question 8

Find the GCF of 18m2 and 27mn3

Question 9

Factor: 30n5 – 24n3 – 12n2

Question 10

Factor: 12x3 + 42xy6 + 42xy.

Question 11

Factor mn + 7n – m − 7 by grouping.

Question 12

Factor cd − 9d – 4c + 36 by grouping.

SOLUTIONS:

Question 1

Find the GCF of 28d3, 32d3, and 20d4

Answer

GCF = 4d3

Question 2

Factor: 28p5q3 + 24p3

Answer

4p3(7p2q3 +6)

Question 3

Factor: −32m4n2 + 14mn3

Answer

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