We appreciate your visit to Combine like terms if possible Write the result with descending powers tex 9x 7 6x 7 8x 7 tex Select the correct choice below and. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
- Combine the coefficients of the like terms: $-9 + 6 - 8 = -11$.
- Write the simplified expression: $-11x^7$.
- The polynomial is already in descending powers.
- The simplified expression is $\boxed{{-11x^7}}$.
### Explanation
1. Identifying Like Terms
We are given the expression $-9 x^7+6 x^7-8 x^7$. Our goal is to combine the like terms. Notice that each term contains $x^7$, so they are like terms and can be combined by adding their coefficients.
2. Adding Coefficients
To combine the like terms, we add the coefficients: $-9 + 6 - 8$. Let's calculate this sum: $-9 + 6 = -3$, and then $-3 - 8 = -11$.
3. Writing the Simplified Expression
Now we write the simplified expression by multiplying the sum of the coefficients by $x^7$. This gives us $-11x^7$.
4. Final Answer
Since there is only one term, $-11x^7$, it is already written in descending powers. Therefore, the simplified expression is $-11x^7$.
### Examples
Polynomials are used to model various real-world phenomena. For example, engineers use polynomials to design curves for roads and bridges. Economists use polynomials to model cost and revenue functions, helping businesses make informed decisions about pricing and production levels. Understanding how to simplify polynomials is essential for these applications.
- Write the simplified expression: $-11x^7$.
- The polynomial is already in descending powers.
- The simplified expression is $\boxed{{-11x^7}}$.
### Explanation
1. Identifying Like Terms
We are given the expression $-9 x^7+6 x^7-8 x^7$. Our goal is to combine the like terms. Notice that each term contains $x^7$, so they are like terms and can be combined by adding their coefficients.
2. Adding Coefficients
To combine the like terms, we add the coefficients: $-9 + 6 - 8$. Let's calculate this sum: $-9 + 6 = -3$, and then $-3 - 8 = -11$.
3. Writing the Simplified Expression
Now we write the simplified expression by multiplying the sum of the coefficients by $x^7$. This gives us $-11x^7$.
4. Final Answer
Since there is only one term, $-11x^7$, it is already written in descending powers. Therefore, the simplified expression is $-11x^7$.
### Examples
Polynomials are used to model various real-world phenomena. For example, engineers use polynomials to design curves for roads and bridges. Economists use polynomials to model cost and revenue functions, helping businesses make informed decisions about pricing and production levels. Understanding how to simplify polynomials is essential for these applications.
Thanks for taking the time to read Combine like terms if possible Write the result with descending powers tex 9x 7 6x 7 8x 7 tex Select the correct choice below and. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
