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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Factoring
The Factoring Strategy

Warm-Ups



1

x2 - 4 = (x - 2)2 for any real number x.
A)TRUE
B)FALSE
2

The trinomial 4x2 + 6x + 9 is a perfect square trinomial.
A)TRUE
B)FALSE
3

The polynomial 4y2 + 25 is a prime polynomial.
A)TRUE
B)FALSE
4

3y + ay + 3x + ax = (x + y)(3 + a) for any values of the variables.
A)TRUE
B)FALSE
5

The polynomial 3x2 + 51 cannot be factored.
A)TRUE
B)FALSE
6

If the GCF is not 1, then you should factor it out first.
A)TRUE
B)FALSE
7

x2 + 9 = (x + 3)2 for any real number x.
A)TRUE
B)FALSE
8

The polynomial x2 - 3x - 5 is a prime polynomial.
A)TRUE
B)FALSE
9

The polynomial y2 - 5y - my + 5m can be factored by grouping.
A)TRUE
B)FALSE
10

The polynomial x2 + ax - 3x + 3a can be factored by grouping.
A)TRUE
B)FALSE








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