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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Factoring
Factoring the Special Products and Factoring by Grouping

Warm-Ups



1

The polynomial x2 + 16 is a difference of two squares.
A)TRUE
B)FALSE
2

The polynomial x2 - 8x + 16 is a perfect square trinomial.
A)TRUE
B)FALSE
3

The polynomial 9x2 + 21x + 49 is a perfect square trinomial.
A)TRUE
B)FALSE
4

4x2 + 4 = (2x + 2)2 for any real number x.
A)TRUE
B)FALSE
5

A difference of two squares is equal to a product of a sum and a difference.
A)TRUE
B)FALSE
6

The polynomial 16y + 1 is a prime polynomial.
A)TRUE
B)FALSE
7

The polynomial x2 + 9 can be factored as (x + 3)(x + 3).
A)TRUE
B)FALSE
8

The polynomial 4x2 - 4 is factored completely as 4(x2 - 1).
A)TRUE
B)FALSE
9

y2 - 2y + 1 = (y - 1)2 for any real number y.
A)TRUE
B)FALSE
10

2x2 - 18 = 2(x - 3)(x + 3) for any real number x.
A)TRUE
B)FALSE








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