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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Factoring
Factoring Out Common Factors

Warm-Ups



1

There are only nine prime numbers.
A)TRUE
B)FALSE
2

The prime factorization of 32 is 23 · 3.
A)TRUE
B)FALSE
3

The integer 51 is a prime number.
A)TRUE
B)FALSE
4

The GCF of the integers 12 and 16 is 4.
A)TRUE
B)FALSE
5

The GCF of the integers 10 and 21 is 1.
A)TRUE
B)FALSE
6

The GCF of the polynomial x5y3 - x4y7 is x4y3.
A)TRUE
B)FALSE
7

For the polynomial 2x2y - 6xy2 we can factor out either 2xy or -2xy.
A)TRUE
B)FALSE
8

The greatest common factor of the polynomial 8a3b - 12a2b is 4ab.
A)TRUE
B)FALSE
9

x - 7 = 7 - x for any real number x.
A)TRUE
B)FALSE
10

-3x2 + 6x = -3x(x - 2) for any real number x.
A)TRUE
B)FALSE








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