We appreciate your visit to Which polynomial is in standard form A tex 2x 4 6 24x 5 tex B tex 6x 2 9x 3 12x 4 tex C tex. 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 :
To determine which polynomial is in standard form, we need to check each polynomial to see if its terms are arranged in order of decreasing exponents, from the highest degree to the lowest degree. Let's review each given polynomial:
1. [tex]$2x^4 + 6 + 24x^5$[/tex]
- Let's arrange the terms by the power of [tex]\(x\)[/tex]: [tex]\(24x^5 + 2x^4 + 6\)[/tex].
- In this arrangement, the terms go from the highest degree (5) to the lowest (constant term 6), so this polynomial is not initially in standard form.
2. [tex]$6x^2 - 9x^3 + 12x^4$[/tex]
- Let's arrange the terms by the power of [tex]\(x\)[/tex]: [tex]\(12x^4 - 9x^3 + 6x^2\)[/tex].
- In this arrangement, the terms go from the highest degree (4) to the lowest (2), so this polynomial is not initially in standard form.
3. [tex]$19x + 6x^2 + 2$[/tex]
- Let's arrange the terms by the power of [tex]\(x\)[/tex]: [tex]\(6x^2 + 19x + 2\)[/tex].
- In this arrangement, the terms go from the highest degree (2) to the lowest (constant term 2), so this polynomial is not initially in standard form.
4. [tex]$23x^9 - 12x^4 + 19$[/tex]
- The terms are already ordered from highest degree to lowest degree: [tex]\(23x^9 - 12x^4 + 19\)[/tex].
- This polynomial is in standard form.
Therefore, the polynomial that is already in standard form is option 4: [tex]\(23x^9 - 12x^4 + 19\)[/tex].
1. [tex]$2x^4 + 6 + 24x^5$[/tex]
- Let's arrange the terms by the power of [tex]\(x\)[/tex]: [tex]\(24x^5 + 2x^4 + 6\)[/tex].
- In this arrangement, the terms go from the highest degree (5) to the lowest (constant term 6), so this polynomial is not initially in standard form.
2. [tex]$6x^2 - 9x^3 + 12x^4$[/tex]
- Let's arrange the terms by the power of [tex]\(x\)[/tex]: [tex]\(12x^4 - 9x^3 + 6x^2\)[/tex].
- In this arrangement, the terms go from the highest degree (4) to the lowest (2), so this polynomial is not initially in standard form.
3. [tex]$19x + 6x^2 + 2$[/tex]
- Let's arrange the terms by the power of [tex]\(x\)[/tex]: [tex]\(6x^2 + 19x + 2\)[/tex].
- In this arrangement, the terms go from the highest degree (2) to the lowest (constant term 2), so this polynomial is not initially in standard form.
4. [tex]$23x^9 - 12x^4 + 19$[/tex]
- The terms are already ordered from highest degree to lowest degree: [tex]\(23x^9 - 12x^4 + 19\)[/tex].
- This polynomial is in standard form.
Therefore, the polynomial that is already in standard form is option 4: [tex]\(23x^9 - 12x^4 + 19\)[/tex].
Thanks for taking the time to read Which polynomial is in standard form A tex 2x 4 6 24x 5 tex B tex 6x 2 9x 3 12x 4 tex C tex. 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
