We appreciate your visit to Divide the polynomial tex 12x 7 48x 6 54x 4 6x tex by tex 2x tex Which of the following is the new polynomial A. 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 divide the polynomial [tex]\(12x^7 + 48x^6 - 54x^4 - 6x\)[/tex] by 2, you simply divide each coefficient in the polynomial by 2. Let's go through it step by step:
1. The original polynomial is [tex]\(12x^7 + 48x^6 - 54x^4 - 6x\)[/tex].
2. Identify the coefficients of each term:
- The coefficient of [tex]\(x^7\)[/tex] is 12.
- The coefficient of [tex]\(x^6\)[/tex] is 48.
- The coefficient of [tex]\(x^4\)[/tex] is -54.
- The coefficient of [tex]\(x\)[/tex] is -6.
- The polynomial does not include terms for [tex]\(x^5\)[/tex], [tex]\(x^3\)[/tex], or a constant term, so their coefficients are 0.
3. Divide each coefficient by 2:
- For [tex]\(x^7\)[/tex]: [tex]\( \frac{12}{2} = 6\)[/tex]
- For [tex]\(x^6\)[/tex]: [tex]\( \frac{48}{2} = 24\)[/tex]
- For [tex]\(x^5\)[/tex]: [tex]\( \frac{0}{2} = 0\)[/tex]
- For [tex]\(x^4\)[/tex]: [tex]\( \frac{-54}{2} = -27\)[/tex]
- For [tex]\(x^3\)[/tex]: [tex]\( \frac{0}{2} = 0\)[/tex]
- For [tex]\(x^2\)[/tex]: [tex]\( \frac{0}{2} = 0\)[/tex]
- For [tex]\(x\)[/tex]: [tex]\( \frac{-6}{2} = -3\)[/tex]
- For the constant term (no x): [tex]\( \frac{0}{2} = 0\)[/tex]
4. Write the resulting polynomial with the new coefficients:
- The result is [tex]\(6x^7 + 24x^6 - 27x^4 - 3x\)[/tex].
So, the polynomial [tex]\(12x^7 + 48x^6 - 54x^4 - 6x\)[/tex] divided by 2 is [tex]\(6x^7 + 24x^6 - 27x^4 - 3x\)[/tex].
1. The original polynomial is [tex]\(12x^7 + 48x^6 - 54x^4 - 6x\)[/tex].
2. Identify the coefficients of each term:
- The coefficient of [tex]\(x^7\)[/tex] is 12.
- The coefficient of [tex]\(x^6\)[/tex] is 48.
- The coefficient of [tex]\(x^4\)[/tex] is -54.
- The coefficient of [tex]\(x\)[/tex] is -6.
- The polynomial does not include terms for [tex]\(x^5\)[/tex], [tex]\(x^3\)[/tex], or a constant term, so their coefficients are 0.
3. Divide each coefficient by 2:
- For [tex]\(x^7\)[/tex]: [tex]\( \frac{12}{2} = 6\)[/tex]
- For [tex]\(x^6\)[/tex]: [tex]\( \frac{48}{2} = 24\)[/tex]
- For [tex]\(x^5\)[/tex]: [tex]\( \frac{0}{2} = 0\)[/tex]
- For [tex]\(x^4\)[/tex]: [tex]\( \frac{-54}{2} = -27\)[/tex]
- For [tex]\(x^3\)[/tex]: [tex]\( \frac{0}{2} = 0\)[/tex]
- For [tex]\(x^2\)[/tex]: [tex]\( \frac{0}{2} = 0\)[/tex]
- For [tex]\(x\)[/tex]: [tex]\( \frac{-6}{2} = -3\)[/tex]
- For the constant term (no x): [tex]\( \frac{0}{2} = 0\)[/tex]
4. Write the resulting polynomial with the new coefficients:
- The result is [tex]\(6x^7 + 24x^6 - 27x^4 - 3x\)[/tex].
So, the polynomial [tex]\(12x^7 + 48x^6 - 54x^4 - 6x\)[/tex] divided by 2 is [tex]\(6x^7 + 24x^6 - 27x^4 - 3x\)[/tex].
Thanks for taking the time to read Divide the polynomial tex 12x 7 48x 6 54x 4 6x tex by tex 2x tex Which of the following is the new polynomial A. 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
