Name
LESSON
8-5
Date
Class
Practice B
Factoring Special Products
Determine whether each trinomial is a perfect square. If so, factor it.
If not, explain why.
1.
2
x 6x 9
yes; x ⫹ 3 2
2.
4x 2 20x 25
yes; 2x ⫹ 5 2
3.
36x 2 24x 16
no; 24x ⫽ 2 6x ⭈ 4 4.
9x 2 12x 4
yes; 3x ⫺ 2 2
5.
A rectangular fountain in the center of a shopping mall
2
2
has an area of (4x 12x 9) ft . The dimensions of the
fountain are of the form cx d, where c and d are whole
numbers. Find an expression for the perimeter of the
fountain. Find the perimeter when x 2 ft.
4 2x ⫹ 3 ft; 28 ft
Determine whether each binomial is the difference of two squares. If
so, factor it. If not, explain why.
6.
2
x 16
yes; x ⫹ 4 x ⫺ 4 7.
9b 4 200
no; 200 is not a perfect square.
8.
1 m6
yes; 1 ⫹ m 3 1 ⫺ m 3 9.
36s 2 4t 2
yes; 6s ⫹ 2t 6s ⫺ 2t 10. x 2y 2 196
no; the operation between the two squares is addition.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
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