Unit 3 – 1
Name:
Not all may be possible.
1. Find two numbers that sum to 8 and have a product of 12 ____________________
2. Find two numbers that sum to 5 and have a product of 6 _____________________
3. Find two numbers that sum to 5 and have a product of -14 ___________________
4. Find two numbers that sum to -6 and have a product of 12 ___________________
5. Find two numbers that sum to 16 and have a product of 15 ___________________
6. Find two numbers that sum to -4 and have a product of -21 __________________
7. Find two numbers that sum to 1 and have a product of -56 ___________________
8. Find two numbers that sum to -14 and have a product of 40 __________________
9. Find two numbers that sum to 0 and have a product of -25 ___________________
10. Find two numbers that sum to 8 and have a product of 16 ___________________
11. Multiply the following:
a.  x  6  x  3
b.  x  7  x  2
x2 + _______ x + ________
Notice: What is the sum
of the constants in each
binomial above?
x2 + _______ x + ________
Notice: What is the
product of the constants
in each binomial above?
12. FACTOR the following (not all may be factored):
a. x  9x 18
b. x  6 x  40
2
d. a  7a  6
d. m  8m 16
2
Notice: What is the
product of the constants
in each binomial above?
Notice: What is the sum
of the constants in each
binomial above?
2
x  5x  14
2
c.
2
2
e. g  11g  24
M. Winking
Unit 3-1 page 74
(12 Continued) FACTOR the following:
2
2
f. x  5 x  6
g. x  5 x  6
2
h. m  7m  60
2
i. 2 g  14 g  24
k. 5 x 4  5 x 3  30 x 2
13. Special Forms
Name
Difference of two
squares
Perfect square
trinomials
j. 3 x 3  24 x 2  60 x
Formula
Example
A 2  B 2   A  B  A  B 
64 x 2  9  8 x   3 2  8 x  38 x  3
A 2  2 AB  B 2   A  B 
A 2  2 AB  B 2   A  B 
2
2
2
x 2  14 x  49  x 2  2x  7   7 2  x  7 
2
a. x  36
2
b. m  9
4
c. m  81
2
d. 4b  400
e. 4 x 2  12 x  9
f. 64a 2  48a  9
g.
121a 8  64b 4
h. 18m 5  48m 3  32m
14. Find the volume of the rectangular prism
shown below
M. Winking
Unit 3-1 page 75
4
2 3
6
i. 36 x  60 x y  25 y
2
15. Describe the area of the shaded region as a
polynomial
15. Multiply the following:
a. 3x  22 x  1
b. 4x  3x  3
16. FACTOR the following:
2
a. 6 x  1x  2
2
b. 4 x  9 x  9
2
c. 2 x  7 x  15
2
d. 3a  10a  8
16. (continued) FACTOR the following:
M. Winking
Unit 3-1 page 76
2
e. 5 g  14 g  8
2
f. 6m  10m  24
g. 6b 3  28b 2  30b
2
h. 5m  11m  12
M. Winking
Unit 3-1 page 77