Work Smart When simplifying, divide out only common factors, not common terms! WRONG! x +1 X +1 1 WRONG! x2 + x + 2 + ☆ + Q x + 2 If you aren't sure what you can divide out, try the computation with numbers to see whether it works. For example, does 3+11 -1 3 ? NO! So, 1 # 1. a+1

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.8: The Reciprocal Of A Real Number
Problem 9MRE
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Using the language of the “Work Smart” tip attached, explain to a mistaken novice Intermediate Algebra student you are tutoring why the other attached equation is false.

Work Smart
When simplifying, divide out only common factors, not common terms!
WRONG!
x +1
* +1
1
WRONG!
x² + x + 2
x + 2
x2 + + 2
If you aren't sure what you can divide out, try the computation with numbers to
see whether it works. For example, does
4
3+1
3 +1
1
3
3
? NO! So, 1 +1.
of
Transcribed Image Text:Work Smart When simplifying, divide out only common factors, not common terms! WRONG! x +1 * +1 1 WRONG! x² + x + 2 x + 2 x2 + + 2 If you aren't sure what you can divide out, try the computation with numbers to see whether it works. For example, does 4 3+1 3 +1 1 3 3 ? NO! So, 1 +1. of
22 +3x+5
= x² +1
3x+5
Transcribed Image Text:22 +3x+5 = x² +1 3x+5
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