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K E Add the polynomials. 1 1 5 (...). × ² + 6) · ( - 37 × ² + 2 × ³ - 1 3 × ² - 6 6 7* The sum is (Simplify your answer.)

K E Add the polynomials. 1 1 5 (...). × ² + 6) · ( - 37 × ² + 2 × ³ - 1 3 × ² - 6 6 7* The sum is (Simplify your answer.)

Algebra and Trigonometry (6th Edition)
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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**Adding Polynomials** Consider the following expression: \[ \left( \frac{1}{8}x^4 + \frac{1}{7}x^3 + \frac{1}{6}x^2 + 6 \right) + \left( -\frac{7}{8}x^4 + \frac{5}{7}x^3 - \frac{1}{3}x^2 - 6 \right) \] The task is to add these two polynomials together. **Steps to Simplify:** 1. Combine like terms for each power of \(x\). 2. Simplify coefficients of like terms. For example: - Combine terms with \(x^4\). - Combine terms with \(x^3\). - Combine terms with \(x^2\). - Combine the constant terms. **Solution:** The sum is: \[ \boxed{} \] (Simplify your answer.)
Transcribed Image Text:**Adding Polynomials** Consider the following expression: \[ \left( \frac{1}{8}x^4 + \frac{1}{7}x^3 + \frac{1}{6}x^2 + 6 \right) + \left( -\frac{7}{8}x^4 + \frac{5}{7}x^3 - \frac{1}{3}x^2 - 6 \right) \] The task is to add these two polynomials together. **Steps to Simplify:** 1. Combine like terms for each power of \(x\). 2. Simplify coefficients of like terms. For example: - Combine terms with \(x^4\). - Combine terms with \(x^3\). - Combine terms with \(x^2\). - Combine the constant terms. **Solution:** The sum is: \[ \boxed{} \] (Simplify your answer.)
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