Given the example below, factor all completely, then decide if the statements are true or false. Example #1: 9z2 - 4 Example #2: 12z -z-6 Example #3: 6x2 -2z-4 There are exactly 2 GCF problems: true There are exactly 2 box/diamond problems: false In example #2, one of the skides of the diamond is 4x: false There is exactly one prime example: true There are no grouping examples: false

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Factoring and Identifying Statements

Given the examples below, factor completely, then decide if the statements are true or false.

#### Example #1: \( 9x^2 - 4 \)

#### Example #2: \( 12x^2 - x - 6 \)

#### Example #3: \( 6x^2 - 2x - 4 \)

#### Statements:

1. **There are exactly 2 GCF problems:**
   - [ ] true
   - [x] false

2. **There are exactly 2 box/diamond problems:**
   - [x] true
   - [ ] false

3. **In example \#2, one of the sides of the diamond is \( 4x \):**
   - [ ] true
   - [x] false

4. **There is exactly one prime example:**
   - [x] true
   - [ ] false

5. **There are no grouping examples:**
   - [ ] true
   - [x] false

6. **All 3 examples share the common factor \( (3x+2) \):**
   - [ ] true
   - [x] false

**Note:** Each dashed box contains a selection for either "true" or "false". The selected answers are indicated with "x".

This content examines your ability to factor expressions and analyze the accuracy of given statements about the characteristics of the factored forms.
Transcribed Image Text:### Factoring and Identifying Statements Given the examples below, factor completely, then decide if the statements are true or false. #### Example #1: \( 9x^2 - 4 \) #### Example #2: \( 12x^2 - x - 6 \) #### Example #3: \( 6x^2 - 2x - 4 \) #### Statements: 1. **There are exactly 2 GCF problems:** - [ ] true - [x] false 2. **There are exactly 2 box/diamond problems:** - [x] true - [ ] false 3. **In example \#2, one of the sides of the diamond is \( 4x \):** - [ ] true - [x] false 4. **There is exactly one prime example:** - [x] true - [ ] false 5. **There are no grouping examples:** - [ ] true - [x] false 6. **All 3 examples share the common factor \( (3x+2) \):** - [ ] true - [x] false **Note:** Each dashed box contains a selection for either "true" or "false". The selected answers are indicated with "x". This content examines your ability to factor expressions and analyze the accuracy of given statements about the characteristics of the factored forms.
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