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 Quadratic Expressions
Factor the following quadratic expression:
\[ x^2 - 8x + 12 \]
Please enter your answer in the box provided and click "Submit Answer" to check if your solution is correct.
**Answer:**
```[ Answer Box ]```
**Submit Answer Button**
##### Instructions:
1. Identify pairs of factors of the constant term (12) that add up to the coefficient of the linear term (-8).
2. Write the quadratic expression in its factored form.
**Example:**
To factor \( x^2 - 8x + 12 \):
- Consider the factors of 12: (1, 12), (2, 6), (3, 4)
- Look for a pair that adds to -8 and multiplies to 12.
- The correct pair is (-2, -6) since -2 + (-6) = -8 and -2 \(\times\) -6 = 12.
Thus, \( x^2 - 8x + 12 \) factors to \( (x - 2)(x - 6) \).
**Note:** This example is for instructional purposes. The actual problem might differ in complexity.
**Additional Resources:**
- [Factoring Quadratics](#)
- [Practice Problems](#)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Facde3d2d-ac29-4ab0-a5e8-e6c2fd629b0c%2F0aeaec08-4fc1-429b-a97e-71e988a7a888%2F3my2h2ai_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Factoring Quadratic Expressions
Factor the following quadratic expression:
\[ x^2 - 8x + 12 \]
Please enter your answer in the box provided and click "Submit Answer" to check if your solution is correct.
**Answer:**
```[ Answer Box ]```
**Submit Answer Button**
##### Instructions:
1. Identify pairs of factors of the constant term (12) that add up to the coefficient of the linear term (-8).
2. Write the quadratic expression in its factored form.
**Example:**
To factor \( x^2 - 8x + 12 \):
- Consider the factors of 12: (1, 12), (2, 6), (3, 4)
- Look for a pair that adds to -8 and multiplies to 12.
- The correct pair is (-2, -6) since -2 + (-6) = -8 and -2 \(\times\) -6 = 12.
Thus, \( x^2 - 8x + 12 \) factors to \( (x - 2)(x - 6) \).
**Note:** This example is for instructional purposes. The actual problem might differ in complexity.
**Additional Resources:**
- [Factoring Quadratics](#)
- [Practice Problems](#)
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