4. Add these rational expressions together. Be sure to simplify completely: 1lz + 24' 7+ 3 12 13 a) Sum: b) What values cannot be in the domain? -3 No spaces when you enter your answers.

Algebra and Trigonometry (6th Edition)
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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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### Subject: Mathematics - Rational Expressions

#### Final Exam Review 2021

**Question 13:**

_Add these rational expressions together. Be sure to simplify completely:_

\[
\frac{12}{x^2 + 11x + 24} + \frac{4}{x + 3}
\]

a) **Sum:**

\[
\text{(Enter the simplified form of the sum here)}
\]

b) **What values cannot be in the domain?**

\[
x \neq -3  \quad x \neq \text{(Enter the other value(s) here)}
\]

**Instructions:**

- No spaces when you enter your answers.

**Navigation:**

Use the "Previous" and "Next" buttons at the bottom to navigate through the questions.

- [Previous]
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Feel free to use the "Bookmark" feature to mark questions you'd like to revisit. If you need to check your answers, there’s a "Check Answer" button available.

---

This question is designed to test your knowledge of adding rational expressions and simplifying them. Make sure to factor polynomials where necessary and identify values that make the denominator zero, as these are not part of the domain.

#### Note:

The rational expression \(\frac{12}{x^2 + 11x + 24}\) can be factored, and you should compare denominators for common factors.

Good luck with your review!
Transcribed Image Text:### Subject: Mathematics - Rational Expressions #### Final Exam Review 2021 **Question 13:** _Add these rational expressions together. Be sure to simplify completely:_ \[ \frac{12}{x^2 + 11x + 24} + \frac{4}{x + 3} \] a) **Sum:** \[ \text{(Enter the simplified form of the sum here)} \] b) **What values cannot be in the domain?** \[ x \neq -3 \quad x \neq \text{(Enter the other value(s) here)} \] **Instructions:** - No spaces when you enter your answers. **Navigation:** Use the "Previous" and "Next" buttons at the bottom to navigate through the questions. - [Previous] - [Next] Feel free to use the "Bookmark" feature to mark questions you'd like to revisit. If you need to check your answers, there’s a "Check Answer" button available. --- This question is designed to test your knowledge of adding rational expressions and simplifying them. Make sure to factor polynomials where necessary and identify values that make the denominator zero, as these are not part of the domain. #### Note: The rational expression \(\frac{12}{x^2 + 11x + 24}\) can be factored, and you should compare denominators for common factors. Good luck with your review!
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